Impulsive control of Lorenz system

被引：159

作者：

Yang, T

Yang, LB

Yang, CM

机构：

[1] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720

[2] UNIV E ZHOU,HUBEI 436000,PEOPLES R CHINA

[3] CHINA CONSTRUCT BANK SONGJIANG SUBBRANCH,SHANGHAI 201611,PEOPLES R CHINA

来源：

PHYSICA D | 1997年 / 110卷 / 1-2期

关键词：

impulsive control; chaos; Lorenz system; impulsive differential equation;

D O I：

10.1016/S0167-2789(97)00116-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper an impulsive control scheme of the Lorenz system is presented. First we use the theory of impulsive differential equation to find conditions under which impulsively controlled Lorenz system is asymptotically stable. Then we give the estimate of the upper bound of impulse interval for asymptotically stable control. Numerical experimental results are presented.

引用

页码：18 / 24

页数：7

共 11 条

[1] 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

[2] Adaptive synchronization of Chua's oscillators [J].

Chua, LO ;

Yang, T ;

Zhong, GQ ;

Wu, CW .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (01) :189-201

[3]

Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6

[4]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[5]

[6] CONTROLLING CHAOS [J].

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199

[7] Driving and synchronizing by chaotic impulses [J].

Stojanovski, T ;

Kocarev, L ;

Parlitz, U .

PHYSICAL REVIEW E, 1996, 54 (02) :2128-2131

[8] On adaptive synchronization and control of nonlinear dynamical systems [J].

Wu, CW ;

Yang, T ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (03) :455-471

[9] Impulsive synchronization of Lorenz systems [J].

Yang, T ;

Yang, LB ;

Yang, CM .

PHYSICS LETTERS A, 1997, 226 (06) :349-354

[10]

YANG T, 1997, IN PRESS INT J BIFUR, V7

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