-
1
-
-
0347049769
-
Application of the second method of Lyapunov to the proof of the Markov stability criterion
-
B.D.O. Anderson, Application of the second method of Lyapunov to the proof of the Markov stability criterion, Int. J. Control 5 (1967) 473-482.
-
(1967)
Int. J. Control
, vol.5
, pp. 473-482
-
-
Anderson, B.D.O.1
-
2
-
-
0016988383
-
Generalized Bezoutian and Sylvester matrices in multivariable linear control
-
B.D.O. Anderson, E.I. Jury, Generalized Bezoutian and Sylvester matrices in multivariable linear control, IEEE Trans. Auto. Control (1976) 551-556.
-
(1976)
IEEE Trans. Auto. Control
, pp. 551-556
-
-
Anderson, B.D.O.1
Jury, E.I.2
-
3
-
-
0016884170
-
Schwarz matrix properties for continuous and discrete time systems
-
B.D.O. Anderson, E.I. Jury, M. Mansur, Schwarz matrix properties for continuous and discrete time systems, Int. J. Control 23 (1976) 1-16.
-
(1976)
Int. J. Control
, vol.23
, pp. 1-16
-
-
Anderson, B.D.O.1
Jury, E.I.2
Mansur, M.3
-
4
-
-
0000388643
-
A note on dynamic stability
-
K.J. Arrow, M. McManus, A note on dynamic stability, Econometrica 26 (1958) 448-454.
-
(1958)
Econometrica
, vol.26
, pp. 448-454
-
-
Arrow, K.J.1
McManus, M.2
-
5
-
-
0020141444
-
Trends in large space structure control theory; Fondest dreams and wildest hopes
-
M.J. Balas, Trends in large space structure control theory; Fondest dreams and wildest hopes, IEEE Trans. Auto. Control AC-22 (1982) 522-535.
-
(1982)
IEEE Trans. Auto. Control
, vol.AC-22
, pp. 522-535
-
-
Balas, M.J.1
-
7
-
-
0011411130
-
A note on the Bezoutian matrix
-
S. Barnett, A note on the Bezoutian matrix, SIAM J. Appl. Math. 22 (1972) 158-161.
-
(1972)
SIAM J. Appl. Math.
, vol.22
, pp. 158-161
-
-
Barnett, S.1
-
8
-
-
0015588345
-
Matrices, polynomials, and linear time invariant systems
-
S. Barnett, Matrices, polynomials, and linear time invariant systems, IEEE Trans. Auto. Control. AC-18 (1973) 1-10.
-
(1973)
IEEE Trans. Auto. Control.
, vol.AC-18
, pp. 1-10
-
-
Barnett, S.1
-
9
-
-
0016473153
-
A note on matrix equations and root locations
-
S. Barnett, A note on matrix equations and root locations, IEEE Trans. Auto. Control (1975) 158-159.
-
(1975)
IEEE Trans. Auto. Control
, pp. 158-159
-
-
Barnett, S.1
-
10
-
-
84976855597
-
Solution of the equation AX + XB = C
-
R. Bartels, G.W. Stewart, Solution of the equation AX + XB = C, Comm. ACM 15 (1972) 820-826.
-
(1972)
Comm. ACM
, vol.15
, pp. 820-826
-
-
Bartels, R.1
Stewart, G.W.2
-
13
-
-
0039576123
-
Characterizations of acyclic D-stable matrices
-
A. Berman, D. Hershkowitz, Characterizations of acyclic D-stable matrices, Linear Algebra Appl. 58 (1984) 17-32.
-
(1984)
Linear Algebra Appl.
, vol.58
, pp. 17-32
-
-
Berman, A.1
Hershkowitz, D.2
-
14
-
-
0003658403
-
-
SIAM, Philadelphia
-
A. Berman, R.J. Plemmons, Nonnegative matrices in the mathematical sciences, second ed., SIAM, Philadelphia, 1994.
-
(1994)
Nonnegative Matrices in the Mathematical Sciences, Second Ed.
-
-
Berman, A.1
Plemmons, R.J.2
-
15
-
-
0022151322
-
On the design of large flexible space structures (LFSS)
-
A. Bhaya, C. Desoer, On the design of large flexible space structures (LFSS), IEEE Trans. Auto. Control AC-30 (1985) 1118-1120.
-
(1985)
IEEE Trans. Auto. Control
, vol.AC-30
, pp. 1118-1120
-
-
Bhaya, A.1
Desoer, C.2
-
16
-
-
0042638225
-
A generalization of the inertia theorem for quadratic matrix polynomials
-
B. Bilir, C. Chicone, A generalization of the inertia theorem for quadratic matrix polynomials, Linear Algebra Appl. 280 (1998) 229-240.
-
(1998)
Linear Algebra Appl.
, vol.280
, pp. 229-240
-
-
Bilir, B.1
Chicone, C.2
-
17
-
-
0345788379
-
Inertia theorems for Lyapunov and Riccati equations
-
B.N. Datta et al. (Eds.), SIAM, Philadelphia
-
S. Bittanti, P. Bolzern, P. Colaneri, Inertia theorems for Lyapunov and Riccati equations, in: B.N. Datta et al. (Eds.), Linear Algebra in Signals, Systems, and Control, SIAM, Philadelphia, 1988, pp. 11-35.
-
(1988)
Linear Algebra in Signals, Systems, and Control
, pp. 11-35
-
-
Bittanti, S.1
Bolzern, P.2
Colaneri, P.3
-
18
-
-
0022754002
-
Lyapunov and Riccati equations: Periodic inertia theorems
-
S. Bittanti, P. Colaneri, Lyapunov and Riccati equations: periodic inertia theorems, IEEE Trans. Auto, Control. AC-31 (1986) 659-661.
-
(1986)
IEEE Trans. Auto, Control.
, vol.AC-31
, pp. 659-661
-
-
Bittanti, S.1
Colaneri, P.2
-
19
-
-
21844504467
-
On the stability of the Bareiss and related Toeplitz factorization algorithms
-
A.W. Bojanczyk, R.P., Brent, de F.R., Hoog, D.R. Sweet, On the stability of the Bareiss and related Toeplitz factorization algorithms, SIAM J. Matrix Anal. Appl. 16 (1995) 133-142.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 133-142
-
-
Bojanczyk, A.W.1
Brent, R.P.2
De Hoog, F.R.3
Sweet, D.R.4
-
20
-
-
0015200926
-
Analysis of the diagonal pivoting method
-
J.R. Bunch, Analysis of the diagonal pivoting method, SIAM J. Numer. Anal. 8 (1971) 656-680.
-
(1971)
SIAM J. Numer. Anal.
, vol.8
, pp. 656-680
-
-
Bunch, J.R.1
-
21
-
-
84966228742
-
Some stable methods for inertia calculating and solving symmetric linear systems
-
J.R. Bunch, L. Kaufman, Some stable methods for inertia calculating and solving symmetric linear systems, Math. Comp. 31 (1977) 162-179.
-
(1977)
Math. Comp.
, vol.31
, pp. 162-179
-
-
Bunch, J.R.1
Kaufman, L.2
-
22
-
-
0012066317
-
Decomposition of a symmetric matrix
-
J.R. Bunch, L., Kaufman, B. Parlett, Decomposition of a symmetric matrix, Numer. Math. 27 (1976) 95-109.
-
(1976)
Numer. Math.
, vol.27
, pp. 95-109
-
-
Bunch, J.R.1
Kaufman, L.2
Parlett, B.3
-
23
-
-
0004457665
-
An inertia theory for operators on a Hilbert space
-
B.E. Cain, An inertia theory for operators on a Hilbert space, J. Math. Anal. Appl. 41 (1973) 97-114.
-
(1973)
J. Math. Anal. Appl.
, vol.41
, pp. 97-114
-
-
Cain, B.E.1
-
24
-
-
0042753928
-
The inertial aspects of Stein's condition H - C* HC ≫ 0
-
B.E. Cain, The inertial aspects of Stein's condition H - C* HC ≫ 0, Trans. Amer. Math. Soc. 196 (1974) 79-91.
-
(1974)
Trans. Amer. Math. Soc.
, vol.196
, pp. 79-91
-
-
Cain, B.E.1
-
25
-
-
0043255099
-
Inertia theory
-
B.E. Cain, Inertia theory, Linear Algebra Appl. 30 (1980) 211-240.
-
(1980)
Linear Algebra Appl.
, vol.30
, pp. 211-240
-
-
Cain, B.E.1
-
26
-
-
0347680337
-
Generalization of Sylvester's theorem and their associated canonical forms
-
Madison
-
B.E. Cain, Generalization of Sylvester's theorem and their associated canonical forms, Int. Linear Algebra Soceity Conference, Madison, 1998.
-
(1998)
Int. Linear Algebra Soceity Conference
-
-
Cain, B.E.1
-
27
-
-
0347680338
-
-
Private communication
-
D. Carlson, Private communication, 1998.
-
(1998)
-
-
Carlson, D.1
-
28
-
-
48749134059
-
Controllability, inertia and stability of tridiagonal matrices
-
D. Carlson, Controllability, inertia and stability of tridiagonal matrices, Linear Algebra Appl. 56 (1994) 207-220.
-
(1994)
Linear Algebra Appl.
, vol.56
, pp. 207-220
-
-
Carlson, D.1
-
29
-
-
0346419390
-
The Lyapunov matrix equation SA + A* S = S* B* BS
-
D. Carlson, B.N. Datta, The Lyapunov matrix equation SA + A* S = S* B* BS, Linear Algebra Appl. 28 (1979a) 43-52.
-
(1979)
Linear Algebra Appl.
, vol.28
, pp. 43-52
-
-
Carlson, D.1
Datta, B.N.2
-
30
-
-
0011473429
-
On the effective computation of the inertia of a nonhermitian matrix
-
D. Carlson, B.N. Datta, On the effective computation of the inertia of a nonhermitian matrix, Numer. Math. 33 (1979b) 315-322.
-
(1979)
Numer. Math.
, vol.33
, pp. 315-322
-
-
Carlson, D.1
Datta, B.N.2
-
31
-
-
0347049766
-
A semi-definite Lyapunov theorem and the characterization of tridiagonal D-stable matrices
-
D. Carlson, B.N., Datta, C.R. Johnson, A semi-definite Lyapunov theorem and the characterization of tridiagonal D-stable matrices, SIAM J. Algebra Disc. Meth. 3 (1982) 293-304.
-
(1982)
SIAM J. Algebra Disc. Meth.
, vol.3
, pp. 293-304
-
-
Carlson, D.1
Datta, B.N.2
Johnson, C.R.3
-
32
-
-
0346419391
-
On the controllability of matrix pairs (A, K) with K positive semidefinite
-
D. Carlson, B.N., Datta, H. Schneider, On the controllability of matrix pairs (A, K) with K positive semidefinite, SIAM J. Algebra Disc. Meth. 5 (1984) 346-350.
-
(1984)
SIAM J. Algebra Disc. Meth.
, vol.5
, pp. 346-350
-
-
Carlson, D.1
Datta, B.N.2
Schneider, H.3
-
33
-
-
0346419389
-
Controllability and inertia theory for functions of a matrix
-
D. Carlson, R.D. Hill, Controllability and inertia theory for functions of a matrix, J. Math. Anal. Appl. 59 (1977) 260-266.
-
(1977)
J. Math. Anal. Appl.
, vol.59
, pp. 260-266
-
-
Carlson, D.1
Hill, R.D.2
-
34
-
-
0039923669
-
On ranges of Lyapunov transformations
-
D. Carlson, R. Loewy, On ranges of Lyapunov transformations, Linear Algebra Appl. 8 (1974) 237-248.
-
(1974)
Linear Algebra Appl.
, vol.8
, pp. 237-248
-
-
Carlson, D.1
Loewy, R.2
-
35
-
-
0013473559
-
Inertia theorems for matrices: The semidefinite case
-
D. Carlson, H. Schneider, Inertia theorems for matrices: the semidefinite case, J. Math. Anal. Appl. 6 (1963) 430-446.
-
(1963)
J. Math. Anal. Appl.
, vol.6
, pp. 430-446
-
-
Carlson, D.1
Schneider, H.2
-
36
-
-
0001976565
-
A generalization of the inertia theorem
-
C.-T. Chen, A generalization of the inertia theorem, SIAM J. Appl. Math. 25 (1973) 158-161.
-
(1973)
SIAM J. Appl. Math.
, vol.25
, pp. 158-161
-
-
Chen, C.-T.1
-
37
-
-
0016439408
-
Inertia theorem for general matrix equations
-
C.-T. Chen, Inertia theorem for general matrix equations, J. Math. Anal. Appl. 49 (1975) 207-210.
-
(1975)
J. Math. Anal. Appl.
, vol.49
, pp. 207-210
-
-
Chen, C.-T.1
-
38
-
-
0347049763
-
Root-clustering criteria (II) linear matrix equations
-
F. Chojnowski, S. Gutman, Root-clustering criteria (II) linear matrix equations, IMA J. Math. Cntr. Inf. 6 (1989) 289-310.
-
(1989)
IMA J. Math. Cntr. Inf.
, vol.6
, pp. 289-310
-
-
Chojnowski, F.1
Gutman, S.2
-
39
-
-
0000176577
-
Fast Toeplitz orthogonalization using inner products
-
G. Cybenko, Fast Toeplitz orthogonalization using inner products. SIAM J. Sci. Stat. Comput. 8 (1987) 734-740.
-
(1987)
SIAM J. Sci. Stat. Comput.
, vol.8
, pp. 734-740
-
-
Cybenko, G.1
-
40
-
-
0003254098
-
Stability of Solutions of Differential Equations in Banach Space
-
American Mathematical Society Providence, RI, Translation of a book published in Russian in 1970
-
J.L. Daleckii, M.G. Krein, Stability of Solutions of Differential Equations in Banach Space, Translation of Mathematical Monographs, Vol. 43, American Mathematical Society Providence, RI, 1974 (Translation of a book published in Russian in 1970).
-
(1974)
Translation of Mathematical Monographs
, vol.43
-
-
Daleckii, J.L.1
Krein, M.G.2
-
41
-
-
0347680335
-
-
Ph.D. thesis, University of Ottawa, Ottawa, Canada
-
B.N. Datta, quadratic forms, matrix equations, and the matrix eigenvalue problems, Ph.D. thesis, University of Ottawa, Ottawa, Canada, 1972.
-
(1972)
Quadratic Forms, Matrix Equations, and the Matrix Eigenvalue Problems
-
-
Datta, B.N.1
-
42
-
-
0011406771
-
On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problems
-
B.N. Datta, On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problems, Linear Algebra Appl. 22 (1978a) 135-141.
-
(1978)
Linear Algebra Appl.
, vol.22
, pp. 135-141
-
-
Datta, B.N.1
-
43
-
-
0347049764
-
An elementary proof of the stability criterion of Liénard and Chipart
-
B.N. Datta, An elementary proof of the stability criterion of Liénard and Chipart, Linear Algebra Appl. 122 (1978b) 89-96.
-
(1978)
Linear Algebra Appl.
, vol.122
, pp. 89-96
-
-
Datta, B.N.1
-
44
-
-
0042753924
-
Stability and D-Stability
-
B.N. Datta, Stability and D-Stability, Linear Algebra Appl. 21 (1978c) 135-141.
-
(1978)
Linear Algebra Appl.
, vol.21
, pp. 135-141
-
-
Datta, B.N.1
-
45
-
-
0346419388
-
Applications of Hankel matrices of Markov parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn problems
-
B.N. Datta, Applications of Hankel matrices of Markov parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn problems, J. Math. Anal. Appl. 69 (1979) 276-290.
-
(1979)
J. Math. Anal. Appl.
, vol.69
, pp. 276-290
-
-
Datta, B.N.1
-
46
-
-
0011511760
-
Matrix equations, matrix polynomial, and the number of zeros of a polynomial inside the unit circle
-
B.N. Datta, Matrix equations, matrix polynomial, and the number of zeros of a polynomial inside the unit circle, Linear and Multilinear Algebra 9 (1980) 63-68.
-
(1980)
Linear and Multilinear Algebra
, vol.9
, pp. 63-68
-
-
Datta, B.N.1
-
47
-
-
0022717852
-
On finding eigenvalue distribution of a matrix in several regions of the complex plane
-
B.N. Datta, K. Datta, On finding eigenvalue distribution of a matrix in several regions of the complex plane, IEEE Trans. Auto. Control. AC-31 (1986) 445-447.
-
(1986)
IEEE Trans. Auto. Control.
, vol.AC-31
, pp. 445-447
-
-
Datta, B.N.1
Datta, K.2
-
48
-
-
0347644953
-
TX and an associated algorithm for inertia and stability
-
TX and an associated algorithm for inertia and stability, Linear Algebra Appl. 97 (1987) 103-109.
-
(1987)
Linear Algebra Appl.
, vol.97
, pp. 103-109
-
-
Datta, B.N.1
Datta, K.2
-
49
-
-
43949163678
-
Feedback stabilization of a second-order system: A nonmodal approach
-
B.N. Datta, F. Rincon, Feedback stabilization of a second-order system: A nonmodal approach, Linear Algebra Appl. 188/189 (1989) 135-161.
-
(1989)
Linear Algebra Appl.
, vol.188-189
, pp. 135-161
-
-
Datta, B.N.1
Rincon, F.2
-
50
-
-
38149144997
-
Linear and numerical linear algebra in control theory: Some research problems
-
B.N. Datta, Linear and numerical linear algebra in control theory: Some research problems, Linear Algebra Appl. 197/198 (1994) 755-790.
-
(1994)
Linear Algebra Appl.
, vol.197-198
, pp. 755-790
-
-
Datta, B.N.1
-
53
-
-
0040208478
-
Algebraic methods for study of some linear matrix equations
-
T.E. Djaferis, S.K. Mitter, Algebraic methods for study of some linear matrix equations, Linear Algebra Appl. 44 (1982) 125-142.
-
(1982)
Linear Algebra Appl.
, vol.44
, pp. 125-142
-
-
Djaferis, T.E.1
Mitter, S.K.2
-
54
-
-
0003554095
-
-
Oxford University Press, Oxford
-
I.S. Duff, A.M. Erisman, J.K. Reid, Direct Methods for Space Matrices, Oxford University Press, Oxford, 1986.
-
(1986)
Direct Methods for Space Matrices
-
-
Duff, I.S.1
Erisman, A.M.2
Reid, J.K.3
-
55
-
-
0009976701
-
On algebraic equations whose roots lie in a circle or in a half plane
-
in German
-
M. Fujiwara, On algebraic equations whose roots lie in a circle or in a half plane, Math. Z. 24 (1926) 161-169, (in German).
-
(1926)
Math. Z.
, vol.24
, pp. 161-169
-
-
Fujiwara, M.1
-
56
-
-
0007224148
-
On Bezoutians, Van der Monde matrices and the Liénard-Chipart stability criterion
-
P. Fuhrmann, B. Datta, On Bezoutians, Van der Monde matrices and the Liénard-Chipart stability criterion, Linear Algebra Appl. 120 (1989) 23-37.
-
(1989)
Linear Algebra Appl.
, vol.120
, pp. 23-37
-
-
Fuhrmann, P.1
Datta, B.2
-
58
-
-
0004236492
-
-
Johns Hopkins University press, Baltimore, MD
-
G.H., Golub, Van Loan, C. Matrix Computations, Third ed., Johns Hopkins University press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations, Third Ed.
-
-
Golub, G.H.1
Van Loan, C.2
-
59
-
-
0021441691
-
∞ error bounds
-
∞ error bounds, Int. J. Control. 39 (1984) 1115-1193.
-
(1984)
Int. J. Control.
, vol.39
, pp. 1115-1193
-
-
Glover, K.1
-
60
-
-
0347680330
-
Admissible regions for root clustering
-
S. Gutman, Admissible regions for root clustering, IMA J. Math. Contr. Inf. 3 (1986) 21-27.
-
(1986)
IMA J. Math. Contr. Inf.
, vol.3
, pp. 21-27
-
-
Gutman, S.1
-
61
-
-
0004444274
-
-
M. Thoma, A. Wyner (Eds.), Springer, Berlin
-
S. Gutman, Root clustering in parameter space in lecture notes in control and information sciences, in: M. Thoma, A. Wyner (Eds.), Springer, Berlin, 1990.
-
(1990)
Root Clustering in Parameter Space in Lecture Notes in Control and Information Sciences
-
-
Gutman, S.1
-
62
-
-
0019601242
-
A general theory for matrix root-clustering in subregions of the complex plane
-
S. Gutman, E.I. Jury, A general theory for matrix root-clustering in subregions of the complex plane, IEEE Trans. Auto. Control AC-26 (1981) 853-863.
-
(1981)
IEEE Trans. Auto. Control
, vol.AC-26
, pp. 853-863
-
-
Gutman, S.1
Jury, E.I.2
-
63
-
-
0346419387
-
Eine Bemerkung zur zweiten methode von Lyapunov
-
W. Hahn, Eine Bemerkung zur zweiten methode von Lyapunov, Math. Nachr. 14 (1955) 349-354.
-
(1955)
Math. Nachr.
, vol.14
, pp. 349-354
-
-
Hahn, W.1
-
64
-
-
0001676463
-
Controllability and observability conditions for linear autonomous systems
-
M.L.J. Hautus, Controllability and observability conditions for linear autonomous systems, Nederl. Akad. Wetensch. Proc. Ser. A (1969) 443-448.
-
(1969)
Nederl. Akad. Wetensch. Proc. Ser. A
, pp. 443-448
-
-
Hautus, M.L.J.1
-
66
-
-
26544445202
-
Inertia theorems for discrete-time extended Lyapunov and Riccati equations
-
B.N. Datta et al. (Eds.), SIAM, Philadelphia
-
V Hernández, A. Urbano, Inertia theorems for discrete-time extended Lyapunov and Riccati equations, in: B.N. Datta et al. (Eds.), Linear Algebra in Signals, Systems, and Control, SIAM, Philadelphia, 1988, pp. 55-63.
-
(1988)
Linear Algebra in Signals, Systems, and Control
, pp. 55-63
-
-
Hernández, V.1
Urbano, A.2
-
67
-
-
0242480675
-
Inertia theory for simultaneous triangulable complex matrices
-
R.D. Hill, Inertia theory for simultaneous triangulable complex matrices, Linear Algebra Appl. 2 (1969) 131-142.
-
(1969)
Linear Algebra Appl.
, vol.2
, pp. 131-142
-
-
Hill, R.D.1
-
68
-
-
0347049761
-
Eigenvalue location using certain matrix functions and geometric curves
-
R.D. Hill, Eigenvalue location using certain matrix functions and geometric curves, Linear Algebra Appl. 16 (1977) 83-91.
-
(1977)
Linear Algebra Appl.
, vol.16
, pp. 83-91
-
-
Hill, R.D.1
-
70
-
-
0014707063
-
Bezoutians, elimination and localization
-
A.S. Householder, Bezoutians, elimination and localization, SIAM Rev., 1970, pp. 73-78.
-
(1970)
SIAM Rev.
, pp. 73-78
-
-
Householder, A.S.1
-
71
-
-
0010709426
-
Matrix equations and the separation of matrix eigenvalues
-
J.L. Howland, Matrix equations and the separation of matrix eigenvalues, J. Math. Anal. Appl. 33 (1971) 683-691.
-
(1971)
J. Math. Anal. Appl.
, vol.33
, pp. 683-691
-
-
Howland, J.L.1
-
72
-
-
0001795810
-
Sufficient conditions for D-Stability
-
C.R. Johnson, Sufficient conditions for D-Stability, J. Econom. Theory 9 (1974) 53-62.
-
(1974)
J. Econom. Theory
, vol.9
, pp. 53-62
-
-
Johnson, C.R.1
-
74
-
-
0010715828
-
Remarks on the root-clustering of a polynomial in a certain region in the complex plane
-
E.I. Jury, S.M. Ahn, Remarks on the root-clustering of a polynomial in a certain region in the complex plane, Quarterly Appl. Math. (1974) 203-205.
-
(1974)
Quarterly Appl. Math.
, pp. 203-205
-
-
Jury, E.I.1
Ahn, S.M.2
-
75
-
-
0003792312
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
-
(1980)
Linear Systems
-
-
Kailath, T.1
-
76
-
-
21144451635
-
Generalized displacement structure for block-Toepliltz, Toeplitz-block, and Toeplitz-derived matrices
-
T. Kailath, J. Chun, Generalized displacement structure for block-Toepliltz, Toeplitz-block, and Toeplitz-derived matrices, SIAM J. Matrix Anal. Appl. 15 (1994) 114-128.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 114-128
-
-
Kailath, T.1
Chun, J.2
-
77
-
-
0000297337
-
Algebraic characterization of polynomials whose zeros lie in a certain algebraic domain
-
R.E. Kalman, Algebraic characterization of polynomials whose zeros lie in a certain algebraic domain, Proc. Nat. Acad. Sci. 64 (1969) 818-823.
-
(1969)
Proc. Nat. Acad. Sci.
, vol.64
, pp. 818-823
-
-
Kalman, R.E.1
-
78
-
-
0345788373
-
Distribution of the roots of the characteristic polynomial of an autonomous system
-
V.L. Kharitonov, Distribution of the roots of the characteristic polynomial of an autonomous system, Automatika Telemekhanika 5 (1981) 42-47.
-
(1981)
Automatika Telemekhanika
, vol.5
, pp. 42-47
-
-
Kharitonov, V.L.1
-
79
-
-
0002225475
-
The method of symmetric and hermitian forms in the theory of the separation of the roots of algebraic equations
-
Translated from Russian by O. Boshko and J.L. Howland
-
M.G. Krein, M.A. Naimark, The method of symmetric and hermitian forms in the theory of the separation of the roots of algebraic equations. Linear and Multilinear Algebra 10 (1981) 265-308. (Translated from Russian by O. Boshko and J.L. Howland)
-
(1981)
Linear and Multilinear Algebra
, vol.10
, pp. 265-308
-
-
Krein, M.G.1
Naimark, M.A.2
-
80
-
-
0345788375
-
Inertia characterization of self-adjoint matrix polynomials
-
P. Lancaster, M. Tismenetsky, Inertia characterization of self-adjoint matrix polynomials, Linear Algebra Appl. (1983) 479-496.
-
(1983)
Linear Algebra Appl.
, pp. 479-496
-
-
Lancaster, P.1
Tismenetsky, M.2
-
81
-
-
0020799169
-
Some extensions and modifications of classical stability tests for polynomials
-
P. Lancaster, M. Tismenetsky, Some extensions and modifications of classical stability tests for polynomials, Int. J. control 38 (1983) 369-380.
-
(1983)
Int. J. Control
, vol.38
, pp. 369-380
-
-
Lancaster, P.1
Tismenetsky, M.2
-
83
-
-
0347049756
-
Liapunov's direct and the number of zeros with positive real parts of a polynomial with constant coefficients
-
S.H. Lehnigk, Liapunov's direct and the number of zeros with positive real parts of a polynomial with constant coefficients, SIAM J. Control 5 (1967) 234-244.
-
(1967)
SIAM J. Control
, vol.5
, pp. 234-244
-
-
Lehnigk, S.H.1
-
85
-
-
0021505269
-
Bezoutian and Schur-Cohn problems for operator polynomials
-
L. Lerer, L. Rodman, Bezoutian and Schur-Cohn problems for operator polynomials, J. Math. Appl. (1984) 83-102.
-
(1984)
J. Math. Appl.
, pp. 83-102
-
-
Lerer, L.1
Rodman, L.2
-
86
-
-
34250231929
-
The Bezoutian and the eigenvalue separation for matrix polynomials
-
L. Lerer, M. Tismenetsky, The Bezoutian and the eigenvalue separation for matrix polynomials, Integral Equations and Operator Theory 5 (1982) 366-445.
-
(1982)
Integral Equations and Operator Theory
, vol.5
, pp. 366-445
-
-
Lerer, L.1
Tismenetsky, M.2
-
87
-
-
0345788374
-
On the location of spectrum of matrix polynomials
-
L. Lerer, M. Tismenetsky, On the location of spectrum of matrix polynomials, Contemporary Mathematics 47 (1985) 287-297.
-
(1985)
Contemporary Mathematics
, vol.47
, pp. 287-297
-
-
Lerer, L.1
Tismenetsky, M.2
-
88
-
-
0011405169
-
Generalized Bezoutian and matrix equations
-
L. Lerer, M. Tismenetsky, Generalized Bezoutian and matrix equations, Linear Algebra Appl. 99 (1988) 123-160.
-
(1988)
Linear Algebra Appl.
, vol.99
, pp. 123-160
-
-
Lerer, L.1
Tismenetsky, M.2
-
89
-
-
0009351736
-
Sur la signe de la partie reele des recines d'une equation algebraique
-
A., Liénard, M.H. Chipart, Sur la signe de la partie reele des recines d'une equation algebraique, J. Math. Pure Appl. B 10 (1914) 291-346.
-
(1914)
J. Math. Pure Appl. B
, vol.10
, pp. 291-346
-
-
Liénard, A.1
Chipart, M.H.2
-
90
-
-
17144471560
-
An inertia theorem for Lyapunov's equation and the dimension of a controllability space
-
R. Loewy, An inertia theorem for Lyapunov's equation and the dimension of a controllability space, Linear Algebra Appl. 260 (1997) 1-7.
-
(1997)
Linear Algebra Appl.
, vol.260
, pp. 1-7
-
-
Loewy, R.1
-
92
-
-
0345788376
-
Probléme général de la stabilité du mouvement (i)
-
M.A. Lyapunov, 1982, Probléme général de la stabilité du mouvement (i) Comm. Math. Soc. Kharkov; (ii) Ann. Fac. Sci., Toulouse 9 (1907); (iii) Annals of Mathematical studies, 17, 1947; (iv) Princeton University Press, Princeton, NJ, 1949.
-
(1982)
Comm. Math. Soc. Kharkov
-
-
Lyapunov, M.A.1
-
93
-
-
0004094248
-
Probléme général de la stabilité du mouvement (ii)
-
M.A. Lyapunov, 1982, Probléme général de la stabilité du mouvement (i) Comm. Math. Soc. Kharkov; (ii) Ann. Fac. Sci., Toulouse 9 (1907); (iii) Annals of Mathematical studies, 17, 1947; (iv) Princeton University Press, Princeton, NJ, 1949.
-
(1907)
Ann. Fac. Sci., Toulouse
, vol.9
-
-
-
94
-
-
0004094248
-
Probléme général de la stabilité du mouvement (iii)
-
M.A. Lyapunov, 1982, Probléme général de la stabilité du mouvement (i) Comm. Math. Soc. Kharkov; (ii) Ann. Fac. Sci., Toulouse 9 (1907); (iii) Annals of Mathematical studies, 17, 1947; (iv) Princeton University Press, Princeton, NJ, 1949.
-
(1947)
Annals of Mathematical Studies
, vol.17
-
-
-
95
-
-
0004094248
-
-
Princeton University Press, Princeton, NJ
-
M.A. Lyapunov, 1982, Probléme général de la stabilité du mouvement (i) Comm. Math. Soc. Kharkov; (ii) Ann. Fac. Sci., Toulouse 9 (1907); (iii) Annals of Mathematical studies, 17, 1947; (iv) Princeton University Press, Princeton, NJ, 1949.
-
(1949)
Probléme Général de la Stabilité du Mouvement (iv)
-
-
-
96
-
-
0004026166
-
-
American Mathematical society, Providence, RI
-
M. Marden, Geometry of Polynomials, American Mathematical society, Providence, RI, 1966.
-
(1966)
Geometry of Polynomials
-
-
Marden, M.1
-
97
-
-
0019909238
-
Generalization of Lyapunov's theorem for the class of regions bounded by algebraic curves
-
A.Y. Mazko, Generalization of Lyapunov's theorem for the class of regions bounded by algebraic curves, Soviet Autom. Control, 1982, pp. 93-96.
-
(1982)
Soviet Autom. Control
, pp. 93-96
-
-
Mazko, A.Y.1
-
98
-
-
0002835644
-
Some theorems on the inertia of general matrices
-
A. Ostrowski, H. Schneider, Some theorems on the inertia of general matrices, J. Math. Anal. Appl. 4 (1962) 72-84.
-
(1962)
J. Math. Anal. Appl.
, vol.4
, pp. 72-84
-
-
Ostrowski, A.1
Schneider, H.2
-
99
-
-
84971195068
-
A new proof of the Routh-Hurwitz stability criterion using the second method of Lyapunov
-
RC. Parks, A new proof of the Routh-Hurwitz stability criterion using the second method of Lyapunov, Proc. Camb. Philos, Soc, 58 (1962) 694-702.
-
(1962)
Proc. Camb. Philos, Soc
, vol.58
, pp. 694-702
-
-
Parks, R.C.1
-
100
-
-
0347049755
-
Lyapunov and the Schur-Cohn stability criteria
-
P.C. Parks, Lyapunov and the Schur-Cohn stability criteria, IEEE Trans. Auto. Control AC-9 (1964) 121.
-
(1964)
IEEE Trans. Auto. Control
, vol.AC-9
, pp. 121
-
-
Parks, P.C.1
-
102
-
-
0002298574
-
Use of indefinite pencils for computing damped natural modes
-
B.N. Parlett, H.C. Chen, Use of indefinite pencils for computing damped natural modes, Linear Algebra Appl. 140 (1990) 53-88.
-
(1990)
Linear Algebra Appl.
, vol.140
, pp. 53-88
-
-
Parlett, B.N.1
Chen, H.C.2
-
103
-
-
0347049749
-
Zero location by Hermitian forms: The singular case
-
V. Pta'k, N.J. Young, Zero location by Hermitian forms: the singular case, Linear Algebra Appl. 43 (1982) 181-196.
-
(1982)
Linear Algebra Appl.
, vol.43
, pp. 181-196
-
-
Pta'k, V.1
Young, N.J.2
-
104
-
-
0347049750
-
-
M. Sc. thesis, Northern Illinois University, DeKalb, IL
-
D. Pierce, A computational comparison of four methods which compute the inertia of a general matrix, M. Sc. thesis, Northern Illinois University, DeKalb, IL, 1983.
-
(1983)
A Computational Comparison of Four Methods Which Compute the Inertia of a General Matrix
-
-
Pierce, D.1
-
106
-
-
0642296091
-
Positive operators and an inertia theorem
-
H. Schneider, Positive operators and an inertia theorem, Numer. Math. 7 (1965) 11-17.
-
(1965)
Numer. Math.
, vol.7
, pp. 11-17
-
-
Schneider, H.1
-
107
-
-
0346435069
-
Lyapunov revisited: Variations on a matrix theme
-
U. Helmke, D. Pratzel-Wolters, E. Zerez (Eds.), Teubner, Stuttgart
-
H. Schneider, Lyapunov revisited: Variations on a matrix theme, in: U. Helmke, D. Pratzel-Wolters, E. Zerez (Eds.), Operators, Systems, and Linear Algebra, Teubner, Stuttgart, 1997, pp. 175-181.
-
(1997)
Operators, Systems, and Linear Algebra
, pp. 175-181
-
-
Schneider, H.1
-
108
-
-
3943101629
-
Ein Verfahren zur Stabilitiatsfrage bes Matizen-Eigenwerte-Probleme
-
H.R. Schwarz, Ein Verfahren zur Stabilitiatsfrage bes Matizen-Eigenwerte-Probleme, Z. Angew, Math. Phys. 7 (1956) 473-500.
-
(1956)
Z. Angew, Math. Phys.
, vol.7
, pp. 473-500
-
-
Schwarz, H.R.1
-
109
-
-
0347567354
-
Inertia theorems for the periodic Lyapunov equation and periodic Riccati equation
-
A. Mark Shayman, Inertia theorems for the periodic Lyapunov equation and periodic Riccati equation, Sys. Cont. Lett. 4 (1984) 27-32.
-
(1984)
Sys. Cont. Lett.
, vol.4
, pp. 27-32
-
-
Mark Shayman, A.1
-
110
-
-
0347680327
-
Alexandr Michailovich Liapunov (1857-1918)
-
D.D. Siljak, Alexandr Michailovich Liapunov (1857-1918), Journal of Dynamic Systems, Measurement, and Control, 1976, pp. 121-122.
-
(1976)
Journal of Dynamic Systems, Measurement, and Control
, pp. 121-122
-
-
Siljak, D.D.1
-
111
-
-
0013393673
-
Some general theorems on iterants
-
P. Stein, Some general theorems on iterants, J. Res. Nat. Bur. Standards 48 (1952) 82-83.
-
(1952)
J. Res. Nat. Bur. Standards
, vol.48
, pp. 82-83
-
-
Stein, P.1
-
112
-
-
0012699568
-
On nonnegative solutions of the equation AD + DA′ = -C
-
J. Snyders, M. Zakai, On nonnegative solutions of the equation AD + DA′ = -C, SIAM J. Appl. Math, 1970, pp. 704-714.
-
(1970)
SIAM J. Appl. Math
, pp. 704-714
-
-
Snyders, J.1
Zakai, M.2
-
113
-
-
0038881931
-
A generalization of a theorem of Lyapunov
-
O. Taussky, A generalization of a theorem of Lyapunov, J. Soc. Ind. Appl. Math. 9 (1961) 640-643.
-
(1961)
J. Soc. Ind. Appl. Math.
, vol.9
, pp. 640-643
-
-
Taussky, O.1
-
115
-
-
0000794894
-
Structured linear algebra problems
-
NATO Series F, Springer, New York
-
P. Van Dooren, Structured linear algebra problems, in: Numerical Linear Algebra in Digital signal Processing, and Parallel Algorithms, NATO Series F, Springer, New York, 1991, pp. 361-384.
-
(1991)
Numerical Linear Algebra in Digital Signal Processing, and Parallel Algorithms
, pp. 361-384
-
-
Van Dooren, P.1
-
116
-
-
0015764334
-
A simple test for asymptotic stability in partially disaptive symmetric systems
-
J.A. Walker, W.E. Schmitendorf, A simple test for asymptotic stability in partially disaptive symmetric systems, Association for Mech. Engrg. J. Appl. Mech. 40 (1973) 1120-1121.
-
(1973)
Association for Mech. Engrg. J. Appl. Mech.
, vol.40
, pp. 1120-1121
-
-
Walker, J.A.1
Schmitendorf, W.E.2
-
117
-
-
0015534803
-
On the eigenvalue of A + B and AB
-
Nat. Bur. Standards Rep. 1367, 1951
-
H. Wielandt, On the eigenvalue of A + B and AB, Nat. Bur. Standards Rep. 1367, 1951, J. Res. Nat. Bur. Standards Sect. B 77 (1973) 61-63.
-
(1973)
J. Res. Nat. Bur. Standards Sect. B
, vol.77
, pp. 61-63
-
-
Wielandt, H.1
-
118
-
-
0014509680
-
Similarity and the numerical range
-
J.P. Williams, Similarity and the numerical range, J. Math. Anal. Appl. 26 (1969) 307-314.
-
(1969)
J. Math. Anal. Appl.
, vol.26
, pp. 307-314
-
-
Williams, J.P.1
-
119
-
-
0242480677
-
On the Ostrowski-Schneider inertia theorem
-
H.K. Wimmer, On the Ostrowski-Schneider inertia theorem, J. Math. Anal. Appl. 41 (1973) 164-169.
-
(1973)
J. Math. Anal. Appl.
, vol.41
, pp. 164-169
-
-
Wimmer, H.K.1
-
120
-
-
0345788371
-
An inertia theorem for tridiagonal matrices and a criterion of Wall on continual fractions
-
H.K. Wimmer, An inertia theorem for tridiagonal matrices and a criterion of Wall on continual fractions, Linear Algebra Appl. 9 (1974) 41-44.
-
(1974)
Linear Algebra Appl.
, vol.9
, pp. 41-44
-
-
Wimmer, H.K.1
-
121
-
-
0000627339
-
Inertia theorems for matrices, controllability, and linear vibrations
-
H.K. Wimmer, Inertia theorems for matrices, controllability, and linear vibrations, Linear Algebra Appl. 8 (1974) 337-343.
-
(1974)
Linear Algebra Appl.
, vol.8
, pp. 337-343
-
-
Wimmer, H.K.1
-
122
-
-
0347049751
-
On the algebraic Riccati equation
-
H.K. Wimmer, On the algebraic Riccati equation, Bull. Austral. Math. Soc. 14 (1976) 457-461.
-
(1976)
Bull. Austral. Math. Soc.
, vol.14
, pp. 457-461
-
-
Wimmer, H.K.1
-
123
-
-
0242397236
-
Remarks on inertia theorems for matrices
-
H.K. Wimmer, A.D. Ziebur, Remarks on inertia theorems for matrices, Czech. Math. J. 25 (1975) 556-561.
-
(1975)
Czech. Math. J.
, vol.25
, pp. 556-561
-
-
Wimmer, H.K.1
Ziebur, A.D.2
|