Impulsive stabilization and control of chaotic system

被引:5
作者
Liu, XZ [1 ]
机构
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
关键词
impulsive control; stability; Lyapunov function; Lorenz system; feedback control;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies an impulsive control problem. By utilizing the method of Lyapunov functions a set of impulsive stabilization criteria are established. These results are then applied to the Lorenz system. It is shown that by using impulsive feedback control, all the solutions of the Lorenz system will converge to an equilibrium point.
引用
收藏
页码:1081 / 1092
页数:12
相关论文
共 20 条
[1]   IMPULSIVE CONTROL IN MANAGEMENT - PROSPECTS AND APPLICATIONS [J].
BENSOUSSAN, A ;
TAPIERO, CS .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 37 (04) :419-442
[2]  
Guan ZH, 1999, DYN CONTIN DISCRET I, V6, P367
[3]   STABILITY-CRITERIA FOR IMPULSIVE DIFFERENTIAL-EQUATIONS IN TERMS OF 2 MEASURES [J].
LAKSHMIKANTHAM, V ;
LIU, XZ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 137 (02) :591-604
[4]  
Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6
[5]  
LAKSHMIKANTHAM V, 1993, STABILIYT ANAL TERMS
[6]   Mixed strategy global sub-optimal feedback control for chaotic systems [J].
Lee, HWJ ;
Paskota, M ;
Teo, KL .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (03) :607-623
[7]   CONTROLLABILITY OF IMPULSIVE DIFFERENTIAL-EQUATIONS [J].
LEELA, S ;
MCRAE, FA ;
SIVASUNDARAM, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 177 (01) :24-30
[8]  
Li X, 1995, OPTIMAL CONTROL THEO
[9]  
Liu X., 1998, IMA Journal of Mathematical Control and Information, V15, P269, DOI 10.1093/imamci/15.3.269
[10]  
LIU XZ, 1994, LECT NOTES PURE APPL, V162, P269