-
1
-
-
0003371522
-
The General Topology of Dynamical Systems
-
American Mathematical Society, Providence, RI
-
E. AKIN, The General Topology of Dynamical Systems, Grad. Stud. Math. 1, American Mathematical Society, Providence, RI, 1993.
-
(1993)
Grad. Stud. Math.
, vol.1
-
-
Akin, E.1
-
2
-
-
0004843162
-
-
Ph.D. thesis, Rutgers University, New Brunswick, NJ
-
F. ALBERTINI, Controllability of Discrete-Time Nonlinear Systems and Some Related Topics, Ph.D. thesis, Rutgers University, New Brunswick, NJ, 1993.
-
(1993)
Controllability of Discrete-Time Nonlinear Systems and Some Related Topics
-
-
Albertini, F.1
-
3
-
-
0003841399
-
Some Connections between Chaotic Dynamical Systems and Control Systems
-
Rutgers Center for Systems and Control, New Brunswick, NJ
-
F. ALBERTINI AND E. SONTAG, Some Connections between Chaotic Dynamical Systems and Control Systems, Report SYCON-90-13, Rutgers Center for Systems and Control, New Brunswick, NJ, 1990.
-
(1990)
Report SYCON-90-13
-
-
Albertini, F.1
Sontag, E.2
-
4
-
-
0027702154
-
Discrete-time transitivity and accessibility: Analytic systems
-
F. ALBERTINI AND E. SONTAG, Discrete-time transitivity and accessibility: Analytic systems, SIAM J. Control Optim., 31 (1993), pp. 1599-1622.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 1599-1622
-
-
Albertini, F.1
Sontag, E.2
-
5
-
-
0002716381
-
Qualitative theory of stochastic systems
-
A. Bharucha-Reid, ed., Academic Press, New York
-
L. ARNOLD AND W. KLIEMANN, Qualitative theory of stochastic systems, in Probabilistic Analysis and Related Topics, A. Bharucha-Reid, ed., Academic Press, New York, pp. 11-79.
-
Probabilistic Analysis and Related Topics
, pp. 11-79
-
-
Arnold, L.1
Kliemann, W.2
-
6
-
-
0001881377
-
Lyapunov exponents of linear stochastic systems
-
Lyapunov Exponents, L. Arnold and V. Wihstutz, eds., Springer-Verlag, Berlin
-
L. ARNOLD, W. KLIEMANN, AND E. OELJEKLAUS, Lyapunov exponents of linear stochastic systems, in Lyapunov Exponents, L. Arnold and V. Wihstutz, eds., Lecture Notes in Math. 1186, Springer-Verlag, Berlin, 1983, pp. 85-125.
-
(1983)
Lecture Notes in Math.
, vol.1186
, pp. 85-125
-
-
Arnold, L.1
Kliemann, W.2
Oeljeklaus, E.3
-
7
-
-
0005498861
-
A control problem related to the Lyapunov spectrum of stochastic flows
-
L. ARNOLD AND L. SAN MARTIN, A control problem related to the Lyapunov spectrum of stochastic flows, Mat. Apl. Comp., 5 (1986), pp. 31-64.
-
(1986)
Mat. Apl. Comp.
, vol.5
, pp. 31-64
-
-
Arnold, L.1
San Martin, L.2
-
8
-
-
33746111685
-
Lyapunov indicator of discrete inclusions. I
-
N. E. BARABANOV, Lyapunov indicator of discrete inclusions. I, Automat. Remote Control, 49 (1988), pp. 152-157.
-
(1988)
Automat. Remote Control
, vol.49
, pp. 152-157
-
-
Barabanov, N.E.1
-
9
-
-
84904778714
-
Lyapunov indicator of discrete inclusions. II
-
N. E. BARABANOV, Lyapunov indicator of discrete inclusions. II, Automat. Remote Control, 49 (1988), pp. 283-287.
-
(1988)
Automat. Remote Control
, vol.49
, pp. 283-287
-
-
Barabanov, N.E.1
-
10
-
-
0342755155
-
Lyapunov indicator of discrete, inclusions. III
-
N. E. BARABANOV, Lyapunov indicator of discrete, inclusions. III. Automat. Remote Control, 49 (1988), pp. 558-565.
-
(1988)
Automat. Remote Control
, vol.49
, pp. 558-565
-
-
Barabanov, N.E.1
-
11
-
-
84904770578
-
Method for the computation of the Lyapunov exponent of a differential inclusion
-
N. E. BARABANOV, Method for the computation of the Lyapunov exponent of a differential inclusion, Automat. Remote Control, 50 (1989), pp. 475-479.
-
(1989)
Automat. Remote Control
, vol.50
, pp. 475-479
-
-
Barabanov, N.E.1
-
12
-
-
0347874900
-
On the Number of Control Sets on Protective Spaces
-
C. J. B. BRAGA AND L. A. B. SAN MARTIN, On the Number of Control Sets on Protective Spaces, Systems Control Lett., 29 (1996), pp. 2-26.
-
(1996)
Systems Control Lett.
, vol.29
, pp. 2-26
-
-
Braga, C.J.B.1
San Martin, L.A.B.2
-
13
-
-
0003288868
-
Analytic Perturbation Theory for Matrices and Operators
-
Birkhäuser, Basel
-
H. BAUMGÄRTEL, Analytic Perturbation Theory for Matrices and Operators, Oper. Theory Adv. Appl. 15, Birkhäuser, Basel, 1985.
-
(1985)
Oper. Theory Adv. Appl.
, vol.15
-
-
Baumgärtel, H.1
-
15
-
-
0002046992
-
Sounded semigroups of matrices
-
M. A. BERGER AND Y. WANG, Sounded semigroups of matrices, Linear Algebra Appl., 166 (1992), pp. 21-27.
-
(1992)
Linear Algebra Appl.
, vol.166
, pp. 21-27
-
-
Berger, M.A.1
Wang, Y.2
-
16
-
-
84941375215
-
Über Differentialgleichungen
-
P. BOHL, Über Differentialgleichungen, J. Reine Angew. Math., 144 (1913), pp. 284-313.
-
(1913)
J. Reine Angew. Math.
, vol.144
, pp. 284-313
-
-
Bohl, P.1
-
17
-
-
0024657278
-
Asymptotic behaviour of optimal control systems with low discount rates
-
F. COLONIUS, Asymptotic behaviour of optimal control systems with low discount rates, Math. Oper. Res., 14 (1989), pp. 309-316.
-
(1989)
Math. Oper. Res.
, vol.14
, pp. 309-316
-
-
Colonius, F.1
-
18
-
-
0001599139
-
Infinite, time optimal control and periodicity
-
F. COLONIUS AND W. KLIEMANN, Infinite, time optimal control and periodicity, Appl. Math. Optim., 20 (1989), pp. 113-130.
-
(1989)
Appl. Math. Optim.
, vol.20
, pp. 113-130
-
-
Colonius, F.1
Kliemann, W.2
-
19
-
-
0013201210
-
Stability radii and Lyapunov exponents
-
Bremen 1989, D. Hinrichsen and B. Mårtensson, eds., Prog. Systems Control Theory 6, Birkhäuser, Basel
-
F. COLONIUS AND W. KLIEMANN, Stability radii and Lyapunov exponents, in Proc. Workshop Control of Uncertain Systems, Bremen 1989, D. Hinrichsen and B. Mårtensson, eds., Prog. Systems Control Theory 6, Birkhäuser, Basel, 1990, pp. 19-55.
-
(1990)
Proc. Workshop Control of Uncertain Systems
, pp. 19-55
-
-
Colonius, F.1
Kliemann, W.2
-
20
-
-
0348133635
-
Linear control semigroups acting on projective space
-
F. COLONIUS AND W. KLIEMANN, Linear control semigroups acting on projective space, J. Dynam. Differential Equations, 5 (1993), pp. 495-528.
-
(1993)
J. Dynam. Differential Equations
, vol.5
, pp. 495-528
-
-
Colonius, F.1
Kliemann, W.2
-
21
-
-
0002292885
-
Maximal and minimal Lyapunov exponents of bilinear control systems
-
F. COLONIUS AND W. KLIEMANN, Maximal and minimal Lyapunov exponents of bilinear control systems, J. Differential Equations, 101 (1993), pp. 232-275.
-
(1993)
J. Differential Equations
, vol.101
, pp. 232-275
-
-
Colonius, F.1
Kliemann, W.2
-
22
-
-
21444453897
-
The Lyapunov spectrum of families of time varying matrices
-
F. COLONIUS AND W. KLIEMANN, The Lyapunov spectrum of families of time varying matrices, Trans. Amer. Math. Soc., 348 (1996), pp. 4389-4408.
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, pp. 4389-4408
-
-
Colonius, F.1
Kliemann, W.2
-
23
-
-
0348063241
-
-
Schwerpunktprogramm der Deutschen Forschungsgemeinschaft "Anwendungsbezogene Optimierung und Steuerung," Universität Augsburg, Germany
-
F. COLONIUS, W. KLIEMANN, AND S. KRULL, Stability and Stabilization of Linear Uncertain Systems - A Lyapunov Exponents Approach, Report 372, Schwerpunktprogramm der Deutschen Forschungsgemeinschaft "Anwendungsbezogene Optimierung und Steuerung," Universität Augsburg, Germany, 1992.
-
(1992)
Stability and Stabilization of Linear Uncertain Systems - A Lyapunov Exponents Approach, Report 372
-
-
Colonius, F.1
Kliemann, W.2
Krull, S.3
-
24
-
-
0003254098
-
Stability of Solutions of Differential Equations in Banach Spaces
-
AMS, Providence, RI
-
J. L. DALECKII AND M. G. KREIN, Stability of Solutions of Differential Equations in Banach Spaces, Transl. Math. Monographs 43, AMS, Providence, RI, 1974.
-
(1974)
Transl. Math. Monographs
, vol.43
-
-
Daleckii, J.L.1
Krein, M.G.2
-
25
-
-
0003001490
-
Sur les équations différentielles linéaires à coefficients périodiques
-
G. FLOQUET, Sur les équations différentielles linéaires à coefficients périodiques, Ann. École Norm. Supérieure, 12 (1883), pp. 47-89.
-
(1883)
Ann. École Norm. Supérieure
, vol.12
, pp. 47-89
-
-
Floquet, G.1
-
26
-
-
0030290328
-
Numerical stabilization of bilinear control systems
-
L. GRÜNE, Numerical stabilization of bilinear control systems, SIAM J. Control Optim., 34 (1996), pp. 2024-2050.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 2024-2050
-
-
Grüne, L.1
-
27
-
-
33846998909
-
Stability of discrete linear inclusions
-
L. GURVITS, Stability of discrete linear inclusions, Linear Algebra Appl., 231 (1995), pp. 47-85.
-
(1995)
Linear Algebra Appl.
, vol.231
, pp. 47-85
-
-
Gurvits, L.1
-
28
-
-
0001549366
-
Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems
-
R. Z. HAS'MINSKII, Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems, Theory Probab. Appl., 12 (1967), pp. 144-147.
-
(1967)
Theory Probab. Appl.
, vol.12
, pp. 144-147
-
-
HaS'Minskii, R.Z.1
-
29
-
-
0000537726
-
Robustness of stability of time-varying linear systems
-
D. HINRICHSEN, A. ILCHMANN, AND A. J. PRITCHARD, Robustness of stability of time-varying linear systems, J. Differential Equations, 82 (1989), pp. 219-250.
-
(1989)
J. Differential Equations
, vol.82
, pp. 219-250
-
-
Hinrichsen, D.1
Ilchmann, A.2
Pritchard, A.J.3
-
30
-
-
0000241112
-
Real and complex stability radii: A survey
-
Control of Uncertain Systems, D. Hinrichsen and B. Mårtensson, eds., Birkhäuser, Basel
-
D. HINRICHSEN AND A. J. PRITCHARD, Real and complex stability radii: A survey, in Control of Uncertain Systems, D. Hinrichsen and B. Mårtensson, eds., Prog, Systems Control Theory 6, Birkhäuser, Basel, 1990, pp. 119-162.
-
(1990)
Prog, Systems Control Theory
, vol.6
, pp. 119-162
-
-
Hinrichsen, D.1
Pritchard, A.J.2
-
32
-
-
1542728559
-
Ergodicity conditions for nonlinear discrete time, stochastic dynamical systems with Markovian noise
-
P. HOMBLÉ, Ergodicity conditions for nonlinear discrete time, stochastic dynamical systems with Markovian noise, Stochast. Anal. Appl., 11 (1993), pp. 513-568.
-
(1993)
Stochast. Anal. Appl.
, vol.11
, pp. 513-568
-
-
Homblé, P.1
-
34
-
-
0025249659
-
Controllability of nonlinear discrete time systems: A Lie algebraic approach
-
B. JAKUBCZYK AND E. SONTAG, Controllability of nonlinear discrete time systems: A Lie algebraic approach, SIAM J. Control Optim., 28 (1990), pp. 11-33.
-
(1990)
SIAM J. Control Optim.
, vol.28
, pp. 11-33
-
-
Jakubczyk, B.1
Sontag, E.2
-
35
-
-
0001884003
-
Ergodic properties of linear dynamical systems
-
R. JOHNSON, K. PALMER, AND G. SELL, Ergodic properties of linear dynamical systems, SIAM J. Appl. Math., 18 (1987), pp. 1-33.
-
(1987)
SIAM J. Appl. Math.
, vol.18
, pp. 1-33
-
-
Johnson, R.1
Palmer, K.2
Sell, G.3
-
36
-
-
0002215712
-
Holomorphic Functions of Several Variables: An Introduction to the Fundamental Theory
-
de Gruyter, New York
-
L. KAUP AND B. KAUP, Holomorphic Functions of Several Variables: An Introduction to the Fundamental Theory, de Gruyter Stud. Math. 3, de Gruyter, New York, 1983.
-
(1983)
De Gruyter Stud. Math.
, vol.3
-
-
Kaup, L.1
Kaup, B.2
-
37
-
-
0001633088
-
Recurrence and invariant measures for degenerate diffusions
-
W. KLIEMANN, Recurrence and invariant measures for degenerate diffusions, Ann. Probab., 15 (1987), pp. 690-707.
-
(1987)
Ann. Probab.
, vol.15
, pp. 690-707
-
-
Kliemann, W.1
-
38
-
-
21844487357
-
The finiteness conjecture for the generalized spectral radius of a set of matrices
-
J. C. LAGARIAS AND Y. WANG, The finiteness conjecture for the generalized spectral radius of a set of matrices, Linear Algebra Appl., 214 (1995), pp. 17-42.
-
(1995)
Linear Algebra Appl.
, vol.214
, pp. 17-42
-
-
Lagarias, J.C.1
Wang, Y.2
-
39
-
-
0004293156
-
-
Academic Press, Boston, MA
-
P. LANCASTER AND M. TISMENETSKY, The Theory of Matrices, 2nd ed., Academic Press, Boston, MA, 1985.
-
(1985)
The Theory of Matrices, 2nd Ed.
-
-
Lancaster, P.1
Tismenetsky, M.2
-
40
-
-
0001525304
-
Problème général de la stabilité du mouvement
-
A. M. LYAPUNOV, Problème général de la stabilité du mouvement, Ann. Fac. Sci. Toulouse, 9 (1907), pp. 203-474. Translation of the original paper published in 1893 in Comm. Soc. Math. Kharkow and reprinted as Ann. Math Studies 17, Princeton University Press, Princeton, NJ, 1949.
-
(1907)
Ann. Fac. Sci. Toulouse
, vol.9
, pp. 203-474
-
-
Lyapunov, A.M.1
-
41
-
-
0007105660
-
-
Translation of the original paper published in 1893 in Comm. Soc. Math. Kharkow and reprinted Princeton University Press, Princeton, NJ
-
A. M. LYAPUNOV, Problème général de la stabilité du mouvement, Ann. Fac. Sci. Toulouse, 9 (1907), pp. 203-474. Translation of the original paper published in 1893 in Comm. Soc. Math. Kharkow and reprinted as Ann. Math Studies 17, Princeton University Press, Princeton, NJ, 1949.
-
(1949)
Ann. Math Studies
, vol.17
-
-
-
42
-
-
0026156282
-
Asymptotic behavior of stochastic systems possessing Markovian realizations
-
S. P. MEYN AND P. E. CAINES, Asymptotic behavior of stochastic systems possessing Markovian realizations, SIAM J. Control Optim., 29 (1991), pp. 638-561.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 638-1561
-
-
Meyn, S.P.1
Caines, P.E.2
-
43
-
-
0003234244
-
Introduction to the. Theory of Analytic. Spaces
-
Springer-Verlag, Berlin
-
R. NAHASIMHAN, Introduction to the. Theory of Analytic. Spaces, Lecture Notes in Math. 25, Springer-Verlag, Berlin, 1966.
-
(1966)
Lecture Notes in Math.
, vol.25
-
-
Nahasimhan, R.1
-
44
-
-
0022097898
-
On asymptotic stability of linear time-varying infinite-dimensional systems
-
K. M. PRZYLUSKI, On asymptotic stability of linear time-varying infinite-dimensional systems, Systems Control Lett., 6 (1985), pp. 147-152.
-
(1985)
Systems Control Lett.
, vol.6
, pp. 147-152
-
-
Przyluski, K.M.1
-
45
-
-
38249027024
-
Remarks on the stability of linear infinite-dimensional discrete-time systems
-
K. M. PRZYLUSKI, Remarks on the stability of linear infinite-dimensional discrete-time systems, J. Differential Equations, 72 (1988), pp. 189-200.
-
(1988)
J. Differential Equations
, vol.72
, pp. 189-200
-
-
Przyluski, K.M.1
-
46
-
-
0024065748
-
Stability of linear infinite-dimensional systems revisited
-
K. M. PRZYLUSKI, Stability of linear infinite-dimensional systems revisited, Internat. J. Control, 48 (1988), pp. 513-523.
-
(1988)
Internat. J. Control
, vol.48
, pp. 513-523
-
-
Przyluski, K.M.1
-
47
-
-
0007438353
-
On stability of linear time-varying infinite-dimensional discrete-time systems
-
K. M. PRZYLUSKI AND S. ROLEWICZ, On stability of linear time-varying infinite-dimensional discrete-time systems, Systems Control Lett., 4 (1984), pp. 307-315.
-
(1984)
Systems Control Lett.
, vol.4
, pp. 307-315
-
-
Przyluski, K.M.1
Rolewicz, S.2
-
48
-
-
49349126301
-
A spectral theory for linear differential systems
-
R. J. SACKER AND G. R. SELL, A spectral theory for linear differential systems, J. Differential Equations, 37 (1978), pp. 320-358.
-
(1978)
J. Differential Equations
, vol.37
, pp. 320-358
-
-
Sacker, R.J.1
Sell, G.R.2
-
49
-
-
0029343657
-
Orders of input/output differential equations and state-space dimensions
-
E. SONTAG AND Y. WANG, Orders of input/output differential equations and state-space dimensions, SIAM J. Control Optim., 33 (1995), pp. 1102-1126.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 1102-1126
-
-
Sontag, E.1
Wang, Y.2
-
50
-
-
0026927112
-
Universal nonsingular controls
-
Errata, ibid., 20 (1993), p. 77
-
E. D. SONTAG, Universal nonsingular controls, Systems Control Lett., 19 (1992), pp. 221-224. Errata, ibid., 20 (1993), p. 77.
-
(1992)
Systems Control Lett
, vol.19
, pp. 221-224
-
-
Sontag, E.D.1
-
51
-
-
85034470203
-
Remarks on Universal Nonsingular Controls for Discrete-Time Systems
-
to appear
-
E. D. SONTAG AND F. R. WIRTH, Remarks on Universal Nonsingular Controls for Discrete-Time Systems, Systems Control Lett., to appear.
-
Systems Control Lett.
-
-
Sontag, E.D.1
Wirth, F.R.2
-
52
-
-
34250275415
-
Single-input observability of continuous-time systems
-
H. J. SUSSMANN, Single-input observability of continuous-time systems, Math. Systems Theory, 12 (1979), pp. 371-393.
-
(1979)
Math. Systems Theory
, vol.12
, pp. 371-393
-
-
Sussmann, H.J.1
-
53
-
-
84966259851
-
Real-analytic desingularization and subanalytic sets: An elementary approach
-
H. J. SUSSMANN. Real-analytic desingularization and subanalytic sets: An elementary approach, Trans. Amer. Math. Soc., 317 (1990), pp. 417-461.
-
(1990)
Trans. Amer. Math. Soc.
, vol.317
, pp. 417-461
-
-
Sussmann, H.J.1
-
55
-
-
0029539678
-
Universal controls for homogeneous discrete-time systems
-
New Orleans, LA
-
F. WIRTH, Universal controls for homogeneous discrete-time systems, in Proc. 34th IEEE CDC, New Orleans, LA, 1995, pp. 25-26.
-
(1995)
Proc. 34th IEEE CDC
, pp. 25-26
-
-
Wirth, F.1
-
56
-
-
85034474531
-
The Calculation of Real Time-Varying Stability Radii
-
to appear
-
F. WIRTH, The Calculation of Real Time-Varying Stability Radii, Internat. J. Robust Nonlinear Control, to appear.
-
Internat. J. Robust Nonlinear Control
-
-
Wirth, F.1
-
57
-
-
85034481184
-
An introduction to spectral theory of linear time-varying systems
-
to appear
-
F. WIRTH, An introduction to spectral theory of linear time-varying systems, J. Math. Systems Estim. Control, to appear.
-
J. Math. Systems Estim. Control
-
-
Wirth, F.1
-
58
-
-
0040010220
-
On stability radii of infinite dimensional time-varying discrete-time systems
-
F. WIRTH AND D. HINRICHSEN, On stability radii of infinite dimensional time-varying discrete-time systems, IMA J. Math. Control Inform., 11 (1994), pp. 253-276.
-
(1994)
IMA J. Math. Control Inform.
, vol.11
, pp. 253-276
-
-
Wirth, F.1
Hinrichsen, D.2
|