A note on impulsive control of nonlinear systems with impulse time window

Volume 10, Issue 6, pp 3087--3098 http://dx.doi.org/10.22436/jnsa.010.06.23

Publication Date: June 25, 2017 Submission Date: March 01, 2017

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Authors

Yuming Feng - School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China. - Key Laboratory of Intelligent Information Processing and Control, School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China. Yang Peng - 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. Jinkui Liu - School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China. - Key Laboratory of Intelligent Information Processing and Control, School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, P. R. China.

Abstract

In this paper, we present some sufficient conditions for the stability of nonlinear systems with impulse time window by using some inequality techniques and results of matrix analysis. The proposed results are simpler than ones shown by Feng et al. [Y.-M. Feng, C.-D. Li, T.-W. Huang, Neurocomputing, 193 (2016), 7–13]. Finally, several numerical examples are given to show the effectiveness of our results.

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Keywords

• Nonlinear systems
• impulsive control
• impulse time window.

MSC

•  37N35
•  49N25

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