Stability of delayed switched systems via Razumikhin technique and application to switched neural networks-Reference-Cited by-同舟云学术

Stability of delayed switched systems via Razumikhin technique and application to switched neural networks

Published:2020-11-16 Issue: Volume: Page:
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Sun Dihua¹,Liu Chao²,Yang Zheng²,Liu Xiaoyang²,Yang Hongyu²,Huang Junjian³

Affiliation:

1. College of Automation, Chongqing University, Chongqing 400044, People’s Republic of China

2. School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, People’s Republic of China

3. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, People’s Republic of China

Abstract

Abstract This paper investigates the globally exponential stability of delayed switched systems via Razumikhin technique. According to mode-dependent dwell average time and multiple Lyapunov functions, new Razumikhin-type stability results are deduced. In contrast to the existing Rzumikhin-type results, the proposed ones are less conservative. In order to demonstrate the applicability, some stability and stabilization results for switched neural networks with time-varying delays are also derived. Several numerical examples are also employed to show the effectiveness and superiority of the obtained results.

Funder

Research Foundation of the Natural Foundation of Chongqing City

Chongqing Municipal Education Commission

Chongqing Science and Technology Commission Technology Innovation and Application Demonstration (Social Livelihood General) Project

National Natural Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/advance-article-pdf/doi/10.1093/imamci/dnaa027/34310130/dnaa027.pdf

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