Stability analysis for a class of nonlinear impulsive switched systems

Volume 10, Issue 8, pp 4544--4551 http://dx.doi.org/10.22436/jnsa.010.08.46

Publication Date: August 31, 2017 Submission Date: April 27, 2017

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Authors

Yuming Feng - Key Laboratory of Intelligent Information Processing and Control, School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China. - School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China. Limin Zou - School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China. Zhengwen Tu - School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China.

Abstract

In this note, we show a new sufficient condition for exponentially stability for a class of nonlinear impulsive switched systems. Based on the result obtained, an effective computational method is devised for the construction of switched linear stabilizing feedback controllers. Finally, a numerical example is given to illustrate the feasibility of the proposed methods. Compared with the results shown by Xu and Teo [H.-L. Xu, K. L. Teo, IEEE Trans. Automat. Control, \({\bf 55}\) (2010), 2429--2433], the form of our result is simpler and its computational cost is lower.

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Keywords

• Nonlinear impulsive switched systems
• exponential stability
• switched Lyapunov functions
• linear matrix inequalities.

MSC

•  37N35
•  49N25

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