Stability Analysis of Systems With Time-Varying Delay via Improved Lyapunov-Krasovskii Functionals

Long, Fei, Zhang, Chuan-Ke, Jiang, Lin ORCID: 0000-0001-6531-2791, He, Yong and Wu, Min (2019) Stability Analysis of Systems With Time-Varying Delay via Improved Lyapunov-Krasovskii Functionals IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51 (4). pp. 1-10. ISSN 2168-2216, 2168-2232

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Abstract

This paper is concerned with the delay-dependent stability analysis of linear systems with a time-varying delay. Two types of improved Lyapunov-Krasovskii functionals (LKFs) are developed to derive less conservative stability criteria. First, a new delay-product-type LKF, including single integral terms with time-varying delays as coefficients is developed, and two stability criteria with less conservatism due to more delay information included are established for different allowable delay sets. Second, the delay-product-type LKF is further improved by introducing several negative definite quadratic terms based on the idea of matrix-refined-function-based LKF, and two stability criteria with more cross-term information and less conservatism for different allowable delay sets are also obtained. Finally, a numerical example is utilized to verify the effectiveness of the proposed methods.

Item Type:	Article
Uncontrolled Keywords:	Delays, Stability criteria, Time-varying systems, Symmetric matrices, Linear matrix inequalities, Delay effects, Allowable delay set method, delay-product-type functional, stability, time delay system, time-varying delay
Depositing User:	Symplectic Admin
Date Deposited:	24 Aug 2020 07:33
Last Modified:	01 Mar 2026 09:55
DOI:	10.1109/tsmc.2019.2914367
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3098465
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