Stability Analysis of Unified Chaotic Systems via Switching Control

被引：0

作者：

Sun, Changchun ^{[1
]}

Jing, Xin ^{[1
]}

机构：

[1] Shenyang Jianzhu Univ, Shenyang 110168, Liaoning, Peoples R China

来源：

PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年

关键词：

switched unified chaotic systems; common quadratic Lyapunov function; switching control; chaotic attractor; STABLE LTI SYSTEMS; LYAPUNOV FUNCTION; ATTRACTOR; MATRICES;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem on the existence of a common quadratic Lyapunov function for switched unified chaotic systems is investigated in this paper. Switched unified chaotic systems with a varying parameter are constructed. A sufficient condition on the existence of a common quadratic Lyapunov function is derived in view of the solution to a group of matrix inequalities. By designing linear state feedback controllers, the controlled switched unified chaotic systems can be asymptotically stable via arbitrary switching. Finally, a random numerical example and its simulations illustrate the effectiveness of the switching control approach.

引用

页码：469 / 473

页数：5

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