Dynamical systems with multiple time-varying delays: Stability and stabilizability

被引：7

作者：

Mehdi, D ^{[1
]}

Boukas, EK

Liu, ZK

机构：

[1] Ecole Super Ingn Poitiers, Lab Automat & Informat Ind, Poitiers, France

[2] GERAD, Montreal, PQ, Canada

[3] Ecole Polytech Montreal, Dept Mech Engn, Montreal, PQ, Canada

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 113卷 / 03期

关键词：

dynamical systems; multiple time-varying delays; stability; robust stability; stabilizability; robust stabilizability; system robustness;

D O I：

10.1023/A:1015360805050

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. System robustness is also studied when the norm-bounded uncertainties are considered. LMI delay-dependent sufficient conditions for stability, stabilizability, and system robustness are established to check whether a system of this class is stable and/or stabilizable. Numerical examples are provided to show the usefulness of the proposed results.

引用

页码：537 / 565

页数：29

共 50 条

[21] Stability of perturbed systems with time-varying delays
Goubet-Bartholomeus, A.
Dambrine, M.
Richard, J.P.
Systems and Control Letters, 1997, 31 (03): : 155 - 163
[22] Stability of perturbed systems with time-varying delays
GoubetBartholomeus, A
Dambrine, M
Richard, JP
SYSTEMS & CONTROL LETTERS, 1997, 31 (03) : 155 - 163
[23] On Stability Properties of Time-Varying Systems with Delays
Tiwari, Shanaz
Wang, Yuan
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 314 - 319
[24] Stability of Time-varying Linear Systems with Time Delays
SUN Jitao ZHANG Yingping(Dapt.of Math.
Journal of Systems Science and Systems Engineering, 1996, (02) : 175 - 178
[25] Discrete-time systems with time-varying time delay: Stability and stabilizability
Boukas, El-Kebir
MATHEMATICAL PROBLEMS IN ENGINEERING, 2006, 2006
[26] Robust Stabilizability of Linear Plants with Time-varying Delays
Zhu, Jing
Qi, Dongdong
2016 IEEE CHINESE GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC), 2016, : 2064 - 2069
[27] Stabilizability of linear time-varying systems
Anderson, Brian D. O.
Ilchmann, Achim
Wirth, Fabian R.
SYSTEMS & CONTROL LETTERS, 2013, 62 (09) : 747 - 755
[28] Optimization of dynamical systems with time-varying or input-varying delays
Clerget, Charles-Henri
Grimaldi, Jean-Philippe
Chebre, Meriam
Petit, Nicolas
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 2282 - 2289
[29] On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
Qi, Jie
Sun, Yuangong
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
[30] Power-rate global stability of dynamical systems with unbounded time-varying delays
Chen, Tianping
Wang, Lili
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2007, 54 (08) : 705 - 709

← 1 2 3 4 5 →