Synchronization of chaotic system with uncertain variable parameters by linear coupling and pragmatical adaptive tracking

被引：5

作者：

Yang, Cheng-Hsiung ^{[1
]}

Li, Shih-Yu ^{[2
,3
]}

Tsen, Pu-Chien ^{[4
]}

机构：

[1] Natl Taiwan Univ Sci & Technol, Grad Inst Automat & Control, Taipei 106, Taiwan

[2] Natl Chiao Tung Univ, Inst Elect Control Engn, Hsinchu, Taiwan

[3] Natl Chiao Tung Univ, Brain Res Ctr, Hsinchu, Taiwan

[4] Taiwan Power Co, Datan Power Plant, Taoyuan Cty 328, Taiwan

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 03期

关键词：

Quantum Cellular Neural Network (Quantum-CNN); Lipschitz condition chaos synchronization; Pragmatical asymptotical stability; Uncertain variable parameter; GENERALIZED SYNCHRONIZATION; QUANTUM-CNN; OSCILLATORS; DYNAMICS;

D O I：

10.1007/s11071-012-0609-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We study the synchronization of general chaotic systems which satisfy the Lipschitz condition only, with uncertain variable parameters by linear coupling and pragmatical adaptive tracking. The uncertain parameters of a system vary with time due to aging, environment, and disturbances. A sufficient condition is given for the asymptotical stability of common zero solution of error dynamics and parameter update dynamics by the Ge-Yu-Chen pragmatical asymptotical stability theorem based on equal probability assumption. Numerical results are studied for a Lorenz system and a quantum cellular neural network oscillator to show the effectiveness of the proposed synchronization strategy.

引用

页码：2187 / 2202

页数：16

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