-
1
-
-
0003100869
-
An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
-
Th. Beelen and P. Van Dooren, "An improved algorithm for the computation of Kronecker's canonical form of a singular pencil," Linear Algebra Its Appl., vol. 105, pp. 9-65, 1988.
-
(1988)
Linear Algebra Its Appl.
, vol.105
, pp. 9-65
-
-
Beelen, T.1
Van Dooren, P.2
-
2
-
-
0023399637
-
The linear quadratic optimal regulator problem for descriptor systems
-
D. J. Bender and A. Laub, "The linear quadratic optimal regulator problem for descriptor systems," IEEE Trans. Automat. Contr., vol. 32, pp. 672-688, 1987.
-
(1987)
IEEE Trans. Automat. Contr.
, vol.32
, pp. 672-688
-
-
Bender, D.J.1
Laub, A.2
-
3
-
-
0023223552
-
The linear quadratic optimal regulator for descriptor systems: Discrete-time case
-
_, "The linear quadratic optimal regulator for descriptor systems: Discrete-time case," Automatica, vol. 23, pp. 71-85, 1987.
-
(1987)
Automatica
, vol.23
, pp. 71-85
-
-
-
6
-
-
0003430109
-
-
S. Bittanti, A. J. Laub, and J. C. Willems, Eds. New York: Springer Verlag
-
S. Bittanti, A. J. Laub, and J. C. Willems, Eds. The Riccati Equation. New York: Springer Verlag, 1991.
-
(1991)
The Riccati Equation
-
-
-
7
-
-
0022914040
-
A symplectic QR-like algorithm for the solution of the real algebraic Riccati equation
-
A. Bunse-Gerstner and V. Mehrmann, "A symplectic QR-like algorithm for the solution of the real algebraic Riccati equation," IEEE Trans. Automat. Contr., vol. 31, pp. 1104-1113, 1989.
-
(1989)
IEEE Trans. Automat. Contr.
, vol.31
, pp. 1104-1113
-
-
Bunse-Gerstner, A.1
Mehrmann, V.2
-
8
-
-
33746972660
-
A chart of numerical methods for structured eigenvalue problems
-
_, "A chart of numerical methods for structured eigenvalue problems," SIAM J. Matrix Anal. Appl., 1992.
-
(1992)
SIAM J. Matrix Anal. Appl.
-
-
-
9
-
-
0002048229
-
Spectral and inner-outer factorization of rational matrices
-
T. Chen and B. A. Francis, "Spectral and inner-outer factorization of rational matrices," SIAM J. Matrix Anal. Appl., vol. 10, no. 1, pp. 1-17, 1989.
-
(1989)
SIAM J. Matrix Anal. Appl.
, vol.10
, Issue.1
, pp. 1-17
-
-
Chen, T.1
Francis, B.A.2
-
10
-
-
0000443275
-
Spectral factorization via Hermitian pencils
-
D. J. Clements and K. Glover, "Spectral factorization via Hermitian pencils," Linear Algebra Its Appl., vols. 122-124, pp. 797-846, 1989.
-
(1989)
Linear Algebra Its Appl.
, vol.122-124
, pp. 797-846
-
-
Clements, D.J.1
Glover, K.2
-
11
-
-
0024715909
-
2 and H∞ control problems
-
Aug.
-
2 and H∞ control problems," IEEE Trans. Automat. Contr., vol. 34, pp. 831-847, Aug. 1989.
-
(1989)
IEEE Trans. Automat. Contr.
, vol.34
, pp. 831-847
-
-
Doyle, J.1
Glover, K.2
Khargonekar, P.3
Francis, B.4
-
12
-
-
0009231722
-
Comments on the numerical solution of the discrete-time algebraic Riccati equation
-
A. Emami-Naeini and G. Franklin, "Comments on the numerical solution of the discrete-time algebraic Riccati equation," IEEE Trans. Automat. Contr., vol. 25, pp. 1015-1016, 1980.
-
(1980)
IEEE Trans. Automat. Contr.
, vol.25
, pp. 1015-1016
-
-
Emami-Naeini, A.1
Franklin, G.2
-
15
-
-
0004014009
-
-
Basel: Birkhauser Verlag
-
A. Halanay and V. Ionescu, Time-Varying Discrete Linear Systems, Input-Output Operators, Riccati Equations, Disturbance Attenuation. Basel: Birkhauser Verlag, 1994.
-
(1994)
Time-Varying Discrete Linear Systems, Input-Output Operators, Riccati Equations, Disturbance Attenuation
-
-
Halanay, A.1
Ionescu, V.2
-
16
-
-
0001122178
-
On computing the stabilizing solution to the discrete-time Riccati equation
-
V. Ionesou and M. Weiss, "On computing the stabilizing solution to the discrete-time Riccati equation," Linear Algebra Its Appl., vol. 174, pp. 229-238, 1992.
-
(1992)
Linear Algebra Its Appl.
, vol.174
, pp. 229-238
-
-
Ionesou, V.1
Weiss, M.2
-
17
-
-
0042709052
-
Continuous and discrete-time Riccati theory: A Popov function approach
-
_, "Continuous and discrete-time Riccati theory: A Popov function approach," Linear Algebra Its Appl., vol. 193, pp. 173-209, 1993.
-
(1993)
Linear Algebra Its Appl.
, vol.193
, pp. 173-209
-
-
-
18
-
-
84947636633
-
∞-control problem
-
∞-control problem," Int. J. Contr., vol. 57, no. 1, pp. 141-195, 1993.
-
(1993)
Int. J. Contr.
, vol.57
, Issue.1
, pp. 141-195
-
-
-
19
-
-
4243196717
-
Generalized continuous-time Riccati theory
-
V. Ionescu and C. Oarǎ, "Generalized continuous-time Riccati theory," Linear Algebra Its Appl., vol. 232, pp. 111-131, 1996.
-
(1996)
Linear Algebra Its Appl.
, vol.232
, pp. 111-131
-
-
Ionescu, V.1
Oarǎ, C.2
-
20
-
-
0030110657
-
Generalized discrete-time Riccati theory
-
_, "Generalized discrete-time Riccati theory," SIAM J. Contr. Optimization, vol. 34, no. 2, pp. 601-619, 1996.
-
(1996)
SIAM J. Contr. Optimization
, vol.34
, Issue.2
, pp. 601-619
-
-
-
21
-
-
0030474950
-
The time-varying discrete 4 block Nehari problem: A Popov-Yakubovich type approach
-
_, "The time-varying discrete 4 block Nehari problem: A Popov-Yakubovich type approach," Integral Equations Operator Theory, vol. 26, pp. 404-431, 1996.
-
(1996)
Integral Equations Operator Theory
, vol.26
, pp. 404-431
-
-
-
22
-
-
84949093267
-
Indefinite sign Riccati theory for descriptor systems
-
Bruxelles, Belgium, July 1-4, to be published
-
_, "Indefinite sign Riccati theory for descriptor systems," in Proc. 4th European Contr. Conf., Bruxelles, Belgium, July 1-4, 1997, to be published.
-
(1997)
Proc. 4th European Contr. Conf.
-
-
-
23
-
-
0019544138
-
Spectral theory of the linear-quadratic optimal control problem: Analytic factorization of rational matrix valued functions
-
E. A. Jonckheere and L. M. Silverman, "Spectral theory of the linear-quadratic optimal control problem: Analytic factorization of rational matrix valued functions," SIAM J. Contr. Optimization, vol. 19, pp. 262-281, 1981.
-
(1981)
SIAM J. Contr. Optimization
, vol.19
, pp. 262-281
-
-
Jonckheere, E.A.1
Silverman, L.M.2
-
24
-
-
0003792312
-
-
Englewood Cliffs, NJ: Prentice-Hall
-
Th. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
-
(1980)
Linear Systems
-
-
Kailath, Th.1
-
25
-
-
84914965022
-
On an iterative technique for Riccati equation computations
-
Jan.
-
D. L. Kleinman, "On an iterative technique for Riccati equation computations," IEEE Trans. Automat. Contr., vol. 13, pp. 114-115, Jan. 1968.
-
(1968)
IEEE Trans. Automat. Contr.
, vol.13
, pp. 114-115
-
-
Kleinman, D.L.1
-
26
-
-
0003132250
-
Algebraic Riccati equation: Hermitian and definite solutions
-
J. C. Willems, S. Bittanti, and A. Laub, Eds. New York: Springer Verlag
-
V. Kučera, "Algebraic Riccati equation: Hermitian and definite solutions," The Riccati Equation, J. C. Willems, S. Bittanti, and A. Laub, Eds. New York: Springer Verlag, 1991, pp. 53-88.
-
(1991)
The Riccati Equation
, pp. 53-88
-
-
Kučera, V.1
-
28
-
-
0012821511
-
Solution of the continuous and discrete-time algebraic Riccati equation: A review
-
J. C. Willems, S. Bittanti, and A. Laub, Eds. New York: Springer Verlag
-
P. Lancaster and L. Rodman, "Solution of the continuous and discrete-time algebraic Riccati equation: A review," The Riccati Equation, J. C. Willems, S. Bittanti, and A. Laub, Eds. New York: Springer Verlag, 1991, pp. 11-52.
-
(1991)
The Riccati Equation
, pp. 11-52
-
-
Lancaster, P.1
Rodman, L.2
-
30
-
-
0018054202
-
A Schur method for solving algebraic Riccati equations
-
MIT Lab. Inform. Decision Syst., Cambridge, MA, Oct.
-
A. Laub, "A Schur method for solving algebraic Riccati equations," MIT Lab. Inform. Decision Syst., Cambridge, MA, Tech. Rep. LIDS-R-859, Oct. 1978.
-
(1978)
Tech. Rep. LIDS-R-859
-
-
Laub, A.1
-
31
-
-
0018681625
-
A Schur method for solving algebraic Riccati equations
-
_, "A Schur method for solving algebraic Riccati equations," IEEE Trans. Automat. Contr., vol. 24, pp. 913-921, 1979.
-
(1979)
IEEE Trans. Automat. Contr.
, vol.24
, pp. 913-921
-
-
-
32
-
-
0020311185
-
Schur techniques in invariant imbedding methods for solving two point boundary value problems
-
Orlando, FL
-
_, "Schur techniques in invariant imbedding methods for solving two point boundary value problems," in Proc. 21st IEEE Conf. Decision Contr., Orlando, FL, 1982, pp. 55-61.
-
(1982)
Proc. 21st IEEE Conf. Decision Contr.
, pp. 55-61
-
-
-
33
-
-
0002756084
-
Invariant subspace methods for the numerical solution of Riccati equation
-
J. C. Willems, S. Bittanti, and A. Laub, Eds. New York: Springer Verlag
-
_, "Invariant subspace methods for the numerical solution of Riccati equation," The Riccati Equation, J. C. Willems, S. Bittanti, and A. Laub, Eds. New York: Springer Verlag, 1991, pp. 163-196.
-
(1991)
The Riccati Equation
, pp. 163-196
-
-
-
34
-
-
0010058262
-
On the matrix Riccati equation
-
K. Mårtensson, "On the matrix Riccati equation," Inform. Sci., vol. 3, pp. 17-49, 1971.
-
(1971)
Inform. Sci.
, vol.3
, pp. 17-49
-
-
Mårtensson, K.1
-
35
-
-
0041470863
-
Existence, uniqueness and stability of solutions to singular, linear-quadratic control problems
-
V. L. Mehrmann, "Existence, uniqueness and stability of solutions to singular, linear-quadratic control problems," Linear Algebra Appl., vol. 121, pp. 291-331, 1989.
-
(1989)
Linear Algebra Appl.
, vol.121
, pp. 291-331
-
-
Mehrmann, V.L.1
-
36
-
-
0002467383
-
The autonomous linear quadratic control problem
-
New York: Springer Verlag
-
_, "The autonomous linear quadratic control problem," Lecture Notes in Control and Information Sciences. New York: Springer Verlag, 1991, vol. 163.
-
(1991)
Lecture Notes in Control and Information Sciences
, vol.163
-
-
-
37
-
-
21344456693
-
A step toward a unified treatment of continuous and discrete time control problems
-
_, "A step toward a unified treatment of continuous and discrete time control problems," Linear Algebra Appl., vols. 241-243, pp. 749-779, 1996.
-
(1996)
Linear Algebra Appl.
, vol.241-243
, pp. 749-779
-
-
-
38
-
-
0040413636
-
An eigenvector solution of the optimal linear regulator problem
-
A. G. J. MacFarlane, "An eigenvector solution of the optimal linear regulator problem," J. Electron. Contr., vol. 14, pp. 496-501, 1963.
-
(1963)
J. Electron. Contr.
, vol.14
, pp. 496-501
-
-
MacFarlane, A.G.J.1
-
39
-
-
0000501472
-
Structural invariants of linear multivariable systems
-
A. S. Morse, "Structural invariants of linear multivariable systems," SIAM J. Contr. Optimization, vol. 11, no. 3, pp. 446-465, 1973.
-
(1973)
SIAM J. Contr. Optimization
, vol.11
, Issue.3
, pp. 446-465
-
-
Morse, A.S.1
-
40
-
-
21444445494
-
Stabilizing solution to the reverse discrete-time Riccati equation
-
C. Oarǎ, "Stabilizing solution to the reverse discrete-time Riccati equation," Linear Algebra Its Appl., vol. 246, nos. 1-3, pp. 113-130, 1996.
-
(1996)
Linear Algebra Its Appl.
, vol.246
, Issue.1-3
, pp. 113-130
-
-
Oarǎ, C.1
-
41
-
-
0001540094
-
Proper deflating subspaces: Properties, algorithms and applications
-
_, "Proper deflating subspaces: Properties, algorithms and applications," Numerical Algorithms, vol. 7, pp. 355-373, 1994.
-
(1994)
Numerical Algorithms
, vol.7
, pp. 355-373
-
-
-
42
-
-
0011287876
-
-
Ph.D. dissertation, Univ. Polytechnica Bucharest, Bucharest, Romania
-
_, "Generalized Riccati theory: A Popov function approach," Ph.D. dissertation, Univ. Polytechnica Bucharest, Bucharest, Romania, 1995.
-
(1995)
Generalized Riccati Theory: A Popov Function Approach
-
-
-
43
-
-
0002416372
-
An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects
-
C. Oarǎ and P. Van Dooren, "An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects," Syst. Contr. Lett., vol. 30, pp. 39-48, 1997.
-
(1997)
Syst. Contr. Lett.
, vol.30
, pp. 39-48
-
-
Oarǎ, C.1
Van Dooren, P.2
-
44
-
-
0019045717
-
On the numerical solution of the discrete algebraic Riccati equation
-
T. Pappas, A. J. Laub, and N. R. Sandell, "On the numerical solution of the discrete algebraic Riccati equation," IEEE Trans. Automat. Contr., vol. 25, pp. 631-641, 1980.
-
(1980)
IEEE Trans. Automat. Contr.
, vol.25
, pp. 631-641
-
-
Pappas, T.1
Laub, A.J.2
Sandell, N.R.3
-
46
-
-
0000022149
-
Matrix quadratic solutions
-
J. E. Potter, "Matrix quadratic solutions," SIAM J. Appl. Math., vol. 14, pp. 496-501, 1966.
-
(1966)
SIAM J. Appl. Math.
, vol.14
, pp. 496-501
-
-
Potter, J.E.1
-
47
-
-
0000988807
-
An algorithm for numerical determination of the structure of a general matrix
-
A. Ruhe, "An algorithm for numerical determination of the structure of a general matrix," BIT, vol. 10, pp. 196-216, 1970.
-
(1970)
BIT
, vol.10
, pp. 196-216
-
-
Ruhe, A.1
-
48
-
-
85012686025
-
Discrete Riccati equations: Alternative algorithms, asymptotic properties and system theoretic interpretations
-
C. T. Leondes, Ed. New York: Academic
-
L. M. Silverman, "Discrete Riccati equations: Alternative algorithms, asymptotic properties and system theoretic interpretations," in Control and Dynamic Systems: Advances in Theory and Applications. C. T. Leondes, Ed. New York: Academic, 1976, vol. 12.
-
(1976)
Control and Dynamic Systems: Advances in Theory and Applications
, vol.12
-
-
Silverman, L.M.1
-
49
-
-
0001162599
-
Error perturbation bounds for subspaces associated with certain eigenvalue problems
-
G. Stewart, "Error perturbation bounds for subspaces associated with certain eigenvalue problems," SIAM Rev., vol. 15, pp. 727-764, 1973.
-
(1973)
SIAM Rev.
, vol.15
, pp. 727-764
-
-
Stewart, G.1
-
51
-
-
0027079137
-
∞ control problems
-
Amer. Automat. Contr. Council, Evanston, IL, 1992
-
∞ control problems," in Proc. 1992 Amer. Contr. Conf., Amer. Automat. Contr. Council, Evanston, IL, 1992, pp. 1128-1132.
-
Proc. 1992 Amer. Contr. Conf.
, pp. 1128-1132
-
-
Stoorvogel, A.A.1
Weeren, A.J.T.M.2
-
52
-
-
0000669144
-
A generalized eigenvalue approach for solving Riccati equations
-
P. Van Dooren, "A generalized eigenvalue approach for solving Riccati equations," SIAM J. Sci. St. Comp., vol. 2, no. 2, pp. 121-135, 1981.
-
(1981)
SIAM J. Sci. St. Comp.
, vol.2
, Issue.2
, pp. 121-135
-
-
Van Dooren, P.1
-
53
-
-
0002095206
-
Reducing subspaces: Definitions, properties and algorithms
-
Berlin: Springer Verlag
-
_, "Reducing subspaces: Definitions, properties and algorithms," Lecture Notes in Mathematics. Berlin: Springer Verlag, 1983, vol. 973.
-
(1983)
Lecture Notes in Mathematics
, vol.973
-
-
-
54
-
-
0013318971
-
Computation of irreductible generalized state-space systems
-
A. Varga, "Computation of irreductible generalized state-space systems," Kybernetika, vol. 26, pp. 89-102, 1989.
-
(1989)
Kybernetika
, vol.26
, pp. 89-102
-
-
Varga, A.1
-
55
-
-
1542296676
-
Numerical algorithms and software tools for analysis and modeling of descriptor systems
-
Prague, Sept.
-
_, "Numerical algorithms and software tools for analysis and modeling of descriptor systems," in Proc. 2nd IFAC Wkshp. Syst. Structure Contr., Prague, Sept. 1992, pp. 392-395.
-
(1992)
Proc. 2nd IFAC Wkshp. Syst. Structure Contr.
, pp. 392-395
-
-
-
56
-
-
0029208568
-
On stabilization methods of descriptor systems
-
_, "On stabilization methods of descriptor systems," Syst. Contr. Letts., vol. 24, pp. 133-138, 1995.
-
(1995)
Syst. Contr. Letts.
, vol.24
, pp. 133-138
-
-
-
57
-
-
85041883539
-
Computation of Kronecker-like forms of system pencils and applications
-
_, "Computation of Kronecker-like forms of system pencils and applications," in Proc. Wkshp. Descriptor Syst., pp. 337-356.
-
Proc. Wkshp. Descriptor Syst.
, pp. 337-356
-
-
-
58
-
-
0020280114
-
A general algorithm for solving the algebraic Riccati equation
-
Orlando, FL
-
R. A. Walker, A. Emami-Naeini, and P. Van Dooren, "A general algorithm for solving the algebraic Riccati equation," in Proc. 21st IEEE Conf. Decision Contr., Orlando, FL, 1982, pp. 68-72.
-
(1982)
Proc. 21st IEEE Conf. Decision Contr.
, pp. 68-72
-
-
Walker, R.A.1
Emami-Naeini, A.2
Van Dooren, P.3
-
59
-
-
0004489633
-
-
Ph.D. dissertation, Univ. Groningen, Groningen, The Netherlands
-
M. Weiss, "Riccati equations in Hilbert spaces: A Popov function approach," Ph.D. dissertation, Univ. Groningen, Groningen, The Netherlands, 1994.
-
(1994)
Riccati Equations in Hilbert Spaces: A Popov Function Approach
-
-
Weiss, M.1
-
60
-
-
0028401207
-
Spectral and inner-outer factorization in the general case through the constrained Riccati equation
-
_, "Spectral and inner-outer factorization in the general case through the constrained Riccati equation," IEEE Trans. Automat. Contr., vol. 39, pp. 677-681, 1994.
-
(1994)
IEEE Trans. Automat. Contr.
, vol.39
, pp. 677-681
-
-
-
61
-
-
0015206454
-
Least squares stationary optimal control and the algebraic Riccati equation
-
J. C. Willems, "Least squares stationary optimal control and the algebraic Riccati equation," IEEE Trans. Automat. Contr., vol. 16, pp. 621-634, 1971.
-
(1971)
IEEE Trans. Automat. Contr.
, vol.16
, pp. 621-634
-
-
Willems, J.C.1
-
63
-
-
0040876964
-
Kronecker's canonical form and the QZ algorithm
-
_, "Kronecker's canonical form and the QZ algorithm," Linear Algebra Its Appl., vol. 28, pp. 285-303, 1979.
-
(1979)
Linear Algebra Its Appl.
, vol.28
, pp. 285-303
-
-
|