Adaptive anti-synchronization of chaotic complex systems and chaotic real systems with unknown parameters

被引:11
|
作者
Sun, Junwei [1 ]
Shen, Yi [2 ]
机构
[1] Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan, Hubei, Peoples R China
基金
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词
Anti-synchronization; chaotic complex system; chaotic real system; PROJECTIVE SYNCHRONIZATION; NONLINEAR-SYSTEMS; ACTIVE CONTROL; ANTIPHASE SYNCHRONIZATION; DYNAMICAL-SYSTEMS; FEEDBACK-CONTROL; OSCILLATORS; PHASE; CHEN;
D O I
10.1177/1077546314557852
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, we investigate the anti-synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems with fully uncertain parameters. According to Lyapunov stability theory, an adaptive control scheme and adaptive laws of parameters have been designed to realize the anti-synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems with different initial conditions. The anti-synchronization between the real Lorenz system and the complex Lorenz system, the real Chen system and the complex Lu system are presented as two examples to demonstrate the validity and feasibility of the presented control technique.
引用
收藏
页码:2992 / 3003
页数:12
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