On some controllability conditions for chaotic dynamics control

被引：66

作者：

Chen, GR

机构：

[1] Dept. of Elec. and Comp. Engineering, University of Houston, Houston

来源：

CHAOS SOLITONS & FRACTALS | 1997年 / 8卷 / 09期

关键词：

D O I：

10.1016/S0960-0779(96)00146-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present some conventional feedback controller design principles for chaos control, with mathematical controllability conditions derived via the Lyapunov function methods. The chaotic Chua's circuit and Duffing oscillator are used as examples to illustrate the fundamental concepts and basic methodology employed by this unified Lyapunov approach, in both linear and non-linear controllers design, for the control of chaotic dynamics. (C) 1997 Elsevier Science Ltd.

引用

页码：1461 / 1470

页数：10

共 27 条

[1]

Chen G., 1993, Journal of Circuits, Systems and Computers, V3, P139, DOI 10.1142/S0218126693000113

[2]

Chen G., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P407, DOI 10.1142/S0218127492000392

[3]

CHEN G, 1997, IN PRESS IEEE T CIRC

[4]

CHEN G, 1997, J BEIJING NORMAL U N, V32, P208

[5]

Chen G., 1995, LINEAR STOCHASTIC CO

[6]

CHEN G, CONTROL SYNCHRONIZAT

[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] Feedback control of Lyapunov exponents for discrete-time dynamical systems [J].

Chen, GR ;

Lai, DJ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (07) :1341-1349

[9]

CHEN GR, 1993, 1993 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS : PROCEEDINGS, VOLS 1-4 ( ISCAS 93 ), P2604, DOI 10.1109/ISCAS.1993.394299

[10] FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS [J].

Chen, Guanrong ;

Dong, Xiaoning .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06) :1363-1409

← 1 2 3 →