Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses

被引:129
作者
Khadra, Anmar [1 ]
Liu, Xinzhi Z. [2 ]
ShermanShen, Xuemin [2 ]
机构
[1] Humboldt Univ, D-10099 Berlin, Germany
[2] Univ Waterloo, Waterloo, ON N2L 3G1, Canada
关键词
Delay; equi-attractivity; impulsive synchronization; NETWORKED CONTROL-SYSTEMS; COMMUNICATION;
D O I
10.1109/TAC.2009.2013029
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this technical note, a class of autonomous impulsive differential systems with linear delayed impulses is considered. Sufficient conditions required for this particular class of systems with varying and constant impulse durations to be equi-attractive in the large are obtained. These conditions are then applied to impulsively synchronize two coupled chaotic systems by using delayed impulses and a robustness analysis of the model is also provided. Simulation results are given to demonstrate the analytical results.
引用
收藏
页码:923 / 928
页数:6
相关论文
共 9 条
[1]  
[Anonymous], 2003, STABILITY TIME DELAY
[2]  
Ballinger G., 2000, APPL ANAL, V74, P71, DOI [DOI 10.1080/00036810008840804, 10.1080 /00036810008840804]
[3]  
Branicky MS, 2000, P AMER CONTR CONF, P2352, DOI 10.1109/ACC.2000.878601
[4]  
Cruz-Hern'andez C., 2004, Nonlinear Dyn. Syst. Theory, V4, P1
[5]  
Khadra A, 2003, DYNAM CONT DIS SER B, V10, P403
[6]   Modelling and optimal controller design of networked control systems with multiple delays [J].
Lian, FL ;
Moyne, J ;
Tilbury, D .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (06) :591-606
[7]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[8]   Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication [J].
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (03) :645-664
[9]  
YU M, 2003, INT J HYBRID SYSTEMS, V3, P291