首页|Relaxed Stability Criteria for Time-Delay Systems:A Novel Quadratic Function Convex Approximation Approach

Relaxed Stability Criteria for Time-Delay Systems:A Novel Quadratic Function Convex Approximation Approach

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This paper develops a quadratic function convex approximation approach to deal with the negative definite prob-lem of the quadratic function induced by stability analysis of lin-ear systems with time-varying delays.By introducing two adjustable parameters and two free variables,a novel convex function greater than or equal to the quadratic function is con-structed,regardless of the sign of the coefficient in the quadratic term.The developed lemma can also be degenerated into the existing quadratic function negative-determination(QFND)lemma and relaxed QFND lemma respectively,by setting two adjustable parameters and two free variables as some particular values.Moreover,for a linear system with time-varying delays,a relaxed stability criterion is established via our developed lemma,together with the quivalent reciprocal combination technique and the Bessel-Legendre inequality.As a result,the conservatism can be reduced via the proposed approach in the context of con-structing Lyapunov-Krasovskii functionals for the stability analy-sis of linear time-varying delay systems.Finally,the superiority of our results is illustrated through three numerical examples.

Equivalent reciprocal combination techniquequadr-atic function convex approximation approachstabilitytimevarying delay

Shenquan Wang、Wenchengyu Ji、Yulian Jiang、Yanzheng Zhu、Jian Sun

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College of Electrical and Electronic Engineering, Changchun University of Technology, Changchun 130012, China

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

Key Laboratory of Complex Systems Intelligent Control and Decision, Beijing Institute of Technology, Beijing 100081, China

国家自然科学基金国家自然科学基金Key Science and Technology Projects of Jilin ProvinceYouth Science and Technology Innovation and Entrepreneurship Outstanding Talents Project of Jilin Province

62273058U22A204520200401075GX20230508043RC

2024

10.1109/JAS.2023.123735

自动化学报(英文版)
中国自动化学会,中国科学院自动化研究所,中国科技出版传媒股份有限公司

自动化学报(英文版)

CSTPCDEI
ISSN：2329-9266
年,卷(期)：2024.11(4)
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