Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control

被引:49
作者
Sun, JT [1 ]
机构
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
关键词
D O I
10.1016/j.chaos.2003.10.018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies delay-dependent stability of time-delay chaotic systems via time-delayed feedback control (DFC). The delay-dependent stability criteria via DFC are derived from the results based on standard feedback control (SFC), the method can be obtained to stabilize the system to an unstable fixed point. A numerical example is discussed to illustrate the advantage of the obtained result. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:143 / 150
页数:8
相关论文
共 40 条
[1]   Cone-valued Lyapunov functions and stability of impulsive control systems [J].
Akinyele, O .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (02) :247-259
[2]  
Bainov D.D., 1989, Systems with Impulse Effect
[3]   Stability of periodic orbits controlled by time-delay feedback [J].
Bleich, ME ;
Socolar, JES .
PHYSICS LETTERS A, 1996, 210 (1-2) :87-94
[4]   TRANSITION TO CHAOS FROM A TWO-TORUS IN A DELAYED FEEDBACK SYSTEM [J].
Boe, Eugene ;
Chang, Hsueh-Chia .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (01) :67-81
[5]   Recovery of the time-evolution equation of time-delay systems from time series [J].
Bunner, MJ ;
Meyer, T ;
Kittel, A ;
Parisi, J .
PHYSICAL REVIEW E, 1997, 56 (05) :5083-5089
[6]  
CHEN G, 1998, CHAOS ORDER METFODOL
[7]   ON FEEDBACK-CONTROL OF CHAOTIC CONTINUOUS-TIME SYSTEMS [J].
CHEN, GR ;
DONG, XN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (09) :591-601
[8]   On time-delayed feedback control of chaotic systems [J].
Chen, GR ;
Yu, XH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (06) :767-772
[9]   Bifurcation dynamics in discrete-time delayed-feedback control systems [J].
Chen, GR ;
Lu, JL ;
Nicholas, B ;
Ranganathan, SM .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (01) :287-293
[10]  
CORRON NJ, 2003, 2003 IEEE IMS WORKSH