Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time

In this paper, the absolute stability for a class of switched delay systems with time-varying uncertainties is analyzed. By constructing an appropriate Lyapunov-Krasovskii functional, a new and less conservative criterion is proposed based on the MDADT method. Besides, the idea of N–segmentation is...

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Main Authors: Juan Liu, Qingdao Huang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2019/5454179
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author Juan Liu
Qingdao Huang
author_facet Juan Liu
Qingdao Huang
author_sort Juan Liu
collection DOAJ
description In this paper, the absolute stability for a class of switched delay systems with time-varying uncertainties is analyzed. By constructing an appropriate Lyapunov-Krasovskii functional, a new and less conservative criterion is proposed based on the MDADT method. Besides, the idea of N–segmentation is also utilized to make it more flexible to solve the LMIs. Finally, a numerical example is given to show the feasibility and advantages of the method proposed in this paper.
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publishDate 2019-01-01
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spelling doaj-art-8e2bd0fb298c41a4a79464266cd5f7ae2025-08-20T02:09:41ZengWileyJournal of Control Science and Engineering1687-52491687-52572019-01-01201910.1155/2019/54541795454179Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell TimeJuan Liu0Qingdao Huang1Jilin University, Changchun 130012, ChinaJilin University, Changchun 130012, ChinaIn this paper, the absolute stability for a class of switched delay systems with time-varying uncertainties is analyzed. By constructing an appropriate Lyapunov-Krasovskii functional, a new and less conservative criterion is proposed based on the MDADT method. Besides, the idea of N–segmentation is also utilized to make it more flexible to solve the LMIs. Finally, a numerical example is given to show the feasibility and advantages of the method proposed in this paper.http://dx.doi.org/10.1155/2019/5454179
spellingShingle Juan Liu
Qingdao Huang
Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time
Journal of Control Science and Engineering
title Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time
title_full Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time
title_fullStr Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time
title_full_unstemmed Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time
title_short Improved Absolute Stability for a Class of Nonlinear Switched Delay Systems via Mode-Dependent Average Dwell Time
title_sort improved absolute stability for a class of nonlinear switched delay systems via mode dependent average dwell time
url http://dx.doi.org/10.1155/2019/5454179
work_keys_str_mv AT juanliu improvedabsolutestabilityforaclassofnonlinearswitcheddelaysystemsviamodedependentaveragedwelltime
AT qingdaohuang improvedabsolutestabilityforaclassofnonlinearswitcheddelaysystemsviamodedependentaveragedwelltime