-
1
-
-
0031257967
-
Asymptotic controllability implies feedback stabilization
-
F. H. CLARKE, Y. S. LEDYAEV, E. D. SONTAG, AND A. I. SUBBOTIN, Asymptotic controllability implies feedback stabilization, IEEE Trans. Automat. Control, 42 (1997), pp. 1394-1407.
-
(1997)
IEEE Trans. Automat. Control
, vol.42
, pp. 1394-1407
-
-
CLARKE, F.H.1
LEDYAEV, Y.S.2
SONTAG, E.D.3
SUBBOTIN, A.I.4
-
2
-
-
33847225203
-
A small-gain type stability criterion for large scale networks of ISS systems
-
Seville, Spain
-
S. DASHKOVSKIY, B. S. RUFFER, AND F. R. WIRTH, A small-gain type stability criterion for large scale networks of ISS systems, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference 2005, Seville, Spain, 2005, pp. 5633-5638.
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
, pp. 5633-5638
-
-
DASHKOVSKIY, S.1
RUFFER, B.S.2
WIRTH, F.R.3
-
3
-
-
34249057145
-
An ISS small gain theorem for general networks
-
S. DASHKOVSKIY, B. S. RUFFER, AND F. R. WIRTH, An ISS small gain theorem for general networks, Math. Control Signals Syst., 19 (2007), pp. 93-122.
-
(2007)
Math. Control Signals Syst
, vol.19
, pp. 93-122
-
-
DASHKOVSKIY, S.1
RUFFER, B.S.2
WIRTH, F.R.3
-
4
-
-
0004905389
-
Stabilization by sampled and discrete feedback with positive sampling rate
-
D. Aeyels, F. Lamnabhi-Lagarrigue, and A. van der Schaft, eds, Springer-Verlag, London
-
L. GRUNE, Stabilization by sampled and discrete feedback with positive sampling rate, in Stability and Stabilization of Nonlinear Systems, D. Aeyels, F. Lamnabhi-Lagarrigue, and A. van der Schaft, eds., Springer-Verlag, London, 1999, pp. 165-182.
-
(1999)
Stability and Stabilization of Nonlinear Systems
, pp. 165-182
-
-
GRUNE, L.1
-
7
-
-
33749013693
-
On input-to-state stability of impulsive systems
-
Seville, Spain
-
J. P. HESPANHA, D. LIBERZON, AND A. R. TEEL, On input-to-state stability of impulsive systems, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference 2005, Seville, Spain, 2005, pp. 3992-3997.
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
, pp. 3992-3997
-
-
HESPANHA, J.P.1
LIBERZON, D.2
TEEL, A.R.3
-
8
-
-
0033884559
-
Stability analysis of digital control systems with time-varying sampling periods
-
B. HU AND A. N. MICHEL, Stability analysis of digital control systems with time-varying sampling periods, Automatica J. IFAC, 36 (2000), pp. 897-905.
-
(2000)
Automatica J. IFAC
, vol.36
, pp. 897-905
-
-
HU, B.1
MICHEL, A.N.2
-
9
-
-
0033728228
-
-
B. HU AND A. N. MICHEL, Robustness analysis of digital control systems with time-varying sampling periods. J. Franklin Insti., 337 (2000), pp. 117-130.
-
B. HU AND A. N. MICHEL, Robustness analysis of digital control systems with time-varying sampling periods. J. Franklin Insti., 337 (2000), pp. 117-130.
-
-
-
-
10
-
-
13244273228
-
On input-to-output stability for systems not uniformly bounded
-
St. Petersburg, Russia, Elsevier, New York
-
B. INGALLS AND Y. WANG, On input-to-output stability for systems not uniformly bounded, in Proceedings of NOLCOS 2001, St. Petersburg, Russia, Elsevier, New York, 2002.
-
(2001)
Proceedings of NOLCOS
-
-
INGALLS, B.1
WANG, Y.2
-
12
-
-
33750125424
-
State-dependent scaling problems and stability of interconnected USS and ISS systems
-
H. ITO, State-dependent scaling problems and stability of interconnected USS and ISS systems, IEEE Trans. Automat. Control, 51 (2006), pp. 1626-1643.
-
(2006)
IEEE Trans. Automat. Control
, vol.51
, pp. 1626-1643
-
-
ITO, H.1
-
13
-
-
39649097615
-
Nonlinear smalt-gain condition covering HSS systems: Necessity and sufficiency from a Lyapunov perspective
-
Seville, Spain
-
H. ITO AND Z.-P. JIANG, Nonlinear smalt-gain condition covering HSS systems: Necessity and sufficiency from a Lyapunov perspective, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference 2005, Seville, Spain, 2005, pp. 355-360.
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
, pp. 355-360
-
-
ITO, H.1
JIANG, Z.-P.2
-
14
-
-
33846166511
-
Small-gain theorem for ISS systems and applications
-
Z. P. JIANG, A. TEEL, AND L. PRALY, Small-gain theorem for ISS systems and applications, Math. Control Signals Systems, 7 (1994), pp. 95-120.
-
(1994)
Math. Control Signals Systems
, vol.7
, pp. 95-120
-
-
JIANG, Z.P.1
TEEL, A.2
PRALY, L.3
-
15
-
-
0030218302
-
A Lyapunov formulation of the nonlinear small-gain theorem for interconnected systems
-
Z. P. JIANG, I. M. Y. MAREELS, AND Y. WANG, A Lyapunov formulation of the nonlinear small-gain theorem for interconnected systems, Automatica J. IFAC, 32 (1996), pp. 1211-1215.
-
(1996)
Automatica J. IFAC
, vol.32
, pp. 1211-1215
-
-
JIANG, Z.P.1
MAREELS, I.M.Y.2
WANG, Y.3
-
16
-
-
0031102352
-
A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
-
Z. P. JIANG AND I. M. Y. MAREELS, A small-gain control method for nonlinear cascaded systems with dynamic uncertainties, IEEE Trans. Automat. Control, 42 (1997), pp. 292-308.
-
(1997)
IEEE Trans. Automat. Control
, vol.42
, pp. 292-308
-
-
JIANG, Z.P.1
MAREELS, I.M.Y.2
-
17
-
-
0006755742
-
A local nonlinear small-gain theorem for discrete-time feedback systems and its applications
-
Shanghai
-
Z. P. JIANG, Y. LIN, AND Y. WANG, A local nonlinear small-gain theorem for discrete-time feedback systems and its applications, in Proceedings of 3rd Asian Control Conference, Shanghai, 2000, pp. 1227-1232.
-
(2000)
Proceedings of 3rd Asian Control Conference
, pp. 1227-1232
-
-
JIANG, Z.P.1
LIN, Y.2
WANG, Y.3
-
18
-
-
5444228408
-
Nonlinear small-gain theorems for discrete-time feedback systems and applications
-
Z. P. JIANG, Y. LIN, AND Y. WANG, Nonlinear small-gain theorems for discrete-time feedback systems and applications, Automatica J. IFAC, 40 (2004), pp. 2129-2136.
-
(2004)
Automatica J. IFAC
, vol.40
, pp. 2129-2136
-
-
JIANG, Z.P.1
LIN, Y.2
WANG, Y.3
-
19
-
-
0035370502
-
Input-to-state stability for discrete-time nonlinear systems
-
Z. P. JIANG AND Y. WANG, Input-to-state stability for discrete-time nonlinear systems, Automatica J. IFAC, 37 (2001), pp. 857-869.
-
(2001)
Automatica J. IFAC
, vol.37
, pp. 857-869
-
-
JIANG, Z.P.1
WANG, Y.2
-
20
-
-
0000383132
-
Mathematical description of linear dynamical systems
-
R. E. KALMAN, Mathematical description of linear dynamical systems, SIAM J. Control Optim., 1 (1963), pp. 152-192.
-
(1963)
SIAM J. Control Optim
, vol.1
, pp. 152-192
-
-
KALMAN, R.E.1
-
21
-
-
2942609238
-
A converse Lyapunov theorem for nonuniform in time global asymptotic stability and its application to feedback stabilization
-
I. KARAFYLLIS AND J. TSINIAS, A converse Lyapunov theorem for nonuniform in time global asymptotic stability and its application to feedback stabilization, SIAM J. Control Optim., 42 (2003), pp. 936-965.
-
(2003)
SIAM J. Control Optim
, vol.42
, pp. 936-965
-
-
KARAFYLLIS, I.1
TSINIAS, J.2
-
22
-
-
1442313346
-
Non-uniform in time ISS and the small-gain theorem
-
I. KARAFYLLIS AND J. TSINIAS, Non-uniform in time ISS and the small-gain theorem, IEEE Trans. Automat. Control, 49 (2004), pp. 196-216.
-
(2004)
IEEE Trans. Automat. Control
, vol.49
, pp. 196-216
-
-
KARAFYLLIS, I.1
TSINIAS, J.2
-
23
-
-
33644801119
-
Non-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis
-
I. KARAFYLLIS, Non-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis, IMA J. Math. Control Inform., 23 (2006), pp. 11-41.
-
(2006)
IMA J. Math. Control Inform
, vol.23
, pp. 11-41
-
-
KARAFYLLIS, I.1
-
24
-
-
28844501440
-
The non-uniform in time small-gain theorem for a wide class of control systems with outputs
-
I. KARAFYLLIS, The non-uniform in time small-gain theorem for a wide class of control systems with outputs, Eur. J. Control, 10 (2004), pp. 307-323.
-
(2004)
Eur. J. Control
, vol.10
, pp. 307-323
-
-
KARAFYLLIS, I.1
-
25
-
-
33845885797
-
A system-theoretic framework for a wide class of systems I: Applications to numerical analysis
-
I. KARAFYLLIS, A system-theoretic framework for a wide class of systems I: Applications to numerical analysis, J. Math. Anal. Appl., 328 (2007), pp. 876-899.
-
(2007)
J. Math. Anal. Appl
, vol.328
, pp. 876-899
-
-
KARAFYLLIS, I.1
-
26
-
-
33845877487
-
A system-theoretic framework for a wide class of systems II: Input-to-output stability
-
I. KARAFYLLIS, A system-theoretic framework for a wide class of systems II: Input-to-output stability, J. Math. Anal. Appl., 328 (2007), pp. 466-486.
-
(2007)
J. Math. Anal. Appl
, vol.328
, pp. 466-486
-
-
KARAFYLLIS, I.1
-
27
-
-
33748338773
-
Stabilization by means of time-varying hybrid feedback
-
I. KARAFYLLIS, Stabilization by means of time-varying hybrid feedback, Math. Control Signals Systems, 18 (2006), pp. 236-259.
-
(2006)
Math. Control Signals Systems
, vol.18
, pp. 236-259
-
-
KARAFYLLIS, I.1
-
28
-
-
0003421351
-
-
World Scientific, Singapore
-
V. LAKSHMIKANTHAM, D. D. BAINOV, AND P. S. SIMEONOV, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
-
(1989)
Theory of Impulsive Differential Equations
-
-
LAKSHMIKANTHAM, V.1
BAINOV, D.D.2
SIMEONOV, P.S.3
-
30
-
-
33745769072
-
-
D. LIBERZON AND D. NESIC, Stability analysis of hybrid systems via small-gain theorems, in Proceedings of the 9th International Workshop on Hybrid Systems: Computation and Control, Santa Barbara, 2006, Lecture Notes in Comput. Sci. 3927, J. Hespanha and A. Tiwari, eds., Springer, Berlin, 2006, pp. 421-435.
-
D. LIBERZON AND D. NESIC, Stability analysis of hybrid systems via small-gain theorems, in Proceedings of the 9th International Workshop on Hybrid Systems: Computation and Control, Santa Barbara, 2006, Lecture Notes in Comput. Sci. 3927, J. Hespanha and A. Tiwari, eds., Springer, Berlin, 2006, pp. 421-435.
-
-
-
-
32
-
-
48249087192
-
-
I. M. Y. MAREELS AND D. J. HILL, Monotone stability of nonlinear feedback systems, J. Math. Systems, Estimation and Control, 2 (1992), pp. 275-291.
-
I. M. Y. MAREELS AND D. J. HILL, Monotone stability of nonlinear feedback systems, J. Math. Systems, Estimation and Control, 2 (1992), pp. 275-291.
-
-
-
-
33
-
-
0002128292
-
Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems
-
D. NESIC, A. R. TEEL, AND E. D. SONTAG, Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems, Sys. Control Lett., 38 (1999), pp. 49-60.
-
(1999)
Sys. Control Lett
, vol.38
, pp. 49-60
-
-
NESIC, D.1
TEEL, A.R.2
SONTAG, E.D.3
-
34
-
-
0000676927
-
Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
-
D. NESIC. A. R. TEEL, AND P. V. KOKOTOVIC, Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations, Syst. Control Lett., 38 (1999), pp. 259-270.
-
(1999)
Syst. Control Lett
, vol.38
, pp. 259-270
-
-
NESIC, D.1
TEEL, A.R.2
KOKOTOVIC, P.V.3
-
35
-
-
48249109804
-
-
D. NESIC AND A. R. TEEL, Sampled-data control of nonlinear systems: An overview of recent results, Perspectives on Robust Control, R. S. O. Moheimani, ed., Springer-Verlag, New York, 2001, pp. 221-239.
-
D. NESIC AND A. R. TEEL, Sampled-data control of nonlinear systems: An overview of recent results, Perspectives on Robust Control, R. S. O. Moheimani, ed., Springer-Verlag, New York, 2001, pp. 221-239.
-
-
-
-
36
-
-
0036647148
-
A note on input-to-state stabilization for nonlinear sampled-data systems
-
D. NESIC AND D. S. LAILA, A note on input-to-state stabilization for nonlinear sampled-data systems, IEEE Trans. Automat. Control, 47 (2002), pp. 1153-1158.
-
(2002)
IEEE Trans. Automat. Control
, vol.47
, pp. 1153-1158
-
-
NESIC, D.1
LAILA, D.S.2
-
37
-
-
0036954539
-
Integral versions of ISS for sampled-data nonlinear systems via their approximate discrete-time models
-
D. NESIC AND D. ANGELI, Integral versions of ISS for sampled-data nonlinear systems via their approximate discrete-time models, IEEE Trans. Automat. Control, 47 (2002), pp. 2033-2038.
-
(2002)
IEEE Trans. Automat. Control
, vol.47
, pp. 2033-2038
-
-
NESIC, D.1
ANGELI, D.2
-
38
-
-
3843084016
-
A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models
-
D. NESIC AND A. TEEL, A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models, IEEE Trans. Automat. Control, 49 (2004), pp. 1103-1122.
-
(2004)
IEEE Trans. Automat. Control
, vol.49
, pp. 1103-1122
-
-
NESIC, D.1
TEEL, A.2
-
39
-
-
7244224694
-
Input-output stability properties of networked control systems
-
D. NESIC AND A. R. TEEL, Input-output stability properties of networked control systems, IEEE Trans. Automat. Control, 49 (2004), pp. 1650-1667.
-
(2004)
IEEE Trans. Automat. Control
, vol.49
, pp. 1650-1667
-
-
NESIC, D.1
TEEL, A.R.2
-
40
-
-
18444388010
-
Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation
-
D. NESIC AND L. GRUNE, Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation, Automatica J. IFAC, 41 (2005), pp. 1143-1156.
-
(2005)
Automatica J. IFAC
, vol.41
, pp. 1143-1156
-
-
NESIC, D.1
GRUNE, L.2
-
41
-
-
62749144011
-
A Unified Approach to Controller Design for Systems with Quantization and Time Scheduling
-
preprint
-
D. NESIC AND D. LIBERZON, A Unified Approach to Controller Design for Systems with Quantization and Time Scheduling, preprint, 2007.
-
(2007)
-
-
NESIC, D.1
LIBERZON, D.2
-
42
-
-
0346148360
-
The Liapunov's second method for continuous time difference equations
-
P. PEPE, The Liapunov's second method for continuous time difference equations, Internat. J. Robust Nonlinear Control, 13 (2003), pp. 1389-1405.
-
(2003)
Internat. J. Robust Nonlinear Control
, vol.13
, pp. 1389-1405
-
-
PEPE, P.1
-
44
-
-
0024647058
-
Smooth stabilization implies coprime factorization
-
E. D. SONTAG, Smooth stabilization implies coprime factorization, IEEE Trans. Automat. Control, 34 (1989), pp. 435-443.
-
(1989)
IEEE Trans. Automat. Control
, vol.34
, pp. 435-443
-
-
SONTAG, E.D.1
-
46
-
-
0000163264
-
Notions of input to output stability
-
E. D. SONTAG AND Y. WANG, Notions of input to output stability, Syst. Control Lett., 38 (1999), pp. 235-248.
-
(1999)
Syst. Control Lett
, vol.38
, pp. 235-248
-
-
SONTAG, E.D.1
WANG, Y.2
-
47
-
-
0036505787
-
A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections
-
E. D. SONTAG AND B. INGALLS, A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections, J. Franklin Inst., 339 (2002), pp. 211-229.
-
(2002)
J. Franklin Inst
, vol.339
, pp. 211-229
-
-
SONTAG, E.D.1
INGALLS, B.2
-
49
-
-
25844480508
-
Stability of discontinuous retarded functional differential equations with applications
-
Y. SUN, A. N. MICHEL, AND G. ZHAI, Stability of discontinuous retarded functional differential equations with applications, IEEE Trans. Automat. Control, 50 (2005), pp. 1090-1105.
-
(2005)
IEEE Trans. Automat. Control
, vol.50
, pp. 1090-1105
-
-
SUN, Y.1
MICHEL, A.N.2
ZHAI, G.3
-
50
-
-
0030243148
-
A nonlinear small gain theorem for the analysis of control systems with saturations
-
A. TEEL, A nonlinear small gain theorem for the analysis of control systems with saturations, IEEE Trans. Automat. Control, 41, pp. 1256-1270.
-
IEEE Trans. Automat. Control
, vol.41
, pp. 1256-1270
-
-
TEEL, A.1
-
51
-
-
84938017582
-
On the input-output stability of time-varying nonlinear feedback systems. Part I: Conditions using concepts of loop gain, conicity and positivity
-
G. ZAMES, On the input-output stability of time-varying nonlinear feedback systems. Part I: Conditions using concepts of loop gain, conicity and positivity, IEEE Trans. Automat. Control, 11 (1966), pp. 228-238.
-
(1966)
IEEE Trans. Automat. Control
, vol.11
, pp. 228-238
-
-
ZAMES, G.1
-
52
-
-
84913458365
-
On the input-output stability of time-varying nonlinear feedback systems. Part II: Conditions involving circles in the frequency plane and sector nonlinearities
-
G. ZAMES, On the input-output stability of time-varying nonlinear feedback systems. Part II: Conditions involving circles in the frequency plane and sector nonlinearities, IEEE Trans. Automat. Control, 11 (1966), pp. 465-476.
-
(1966)
IEEE Trans. Automat. Control
, vol.11
, pp. 465-476
-
-
ZAMES, G.1
|