Exponential stabilization for a class of nonlinear switched systems with mixed delays under asynchronous switching
type: Item
instance of: scholarly article
title: Exponential stabilization for a class of nonlinear switched systems with mixed delays under asynchronous switching
zbMATH Open document ID: 1405.93128
DOI: 10.1155/2018/7692375
author: Yongzhao Wang
published in: Complexity
publication date: 2018-12-18T00:00:00Z
review text: Summary: This paper deals with the exponential stabilization problem for a class of nonlinear switched systems with mixed delays under asynchronous switching. The switching signal of the switched controller involves delay, which results in the asynchronous switching between the candidate controllers and subsystems. By constructing the parameter-dependent Lyapunov-Krasovskii functional and the average dwell time approach, some sufficient conditions in forms of linear matrix inequalities are presented to ensure the exponential stability of the switched nonlinear system under arbitrary switching signals. In addition, through the special deformation of the matrix and Schur complement, the controllers with asynchronous switching are designed. Finally, a numerical example and a practical example of river pollution control are provided to show the validity and potential of the developed results.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6995139
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7692375
OpenAlex ID: W2889064272
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description: scientific article; zbMATH DE number 6995139