Citation

Antharat, Krissana and Rajchakit, Grienggrai (2025) Improved Lyapunov Functional for Stability Analysis in Delay-Differential Systems. International Journal on Robotics, Automation and Sciences, 7 (2). pp. 108-112. ISSN 2682-860X

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Abstract

This paper explores the stability of differential systems influenced by time delays, with a specific focus on situations where these delays change over time. Such systems often present analytical challenges due to the unpredictable nature of the delays. To tackle this, we introduce a new form of Lyapunov–Krasovskii functional, which leads to a refined condition for stability that depends directly on the characteristics of the delay. This condition is formulated using Linear Matrix Inequalities (LMIs), which offer a practical way to assess stability while maintaining a solid theoretical foundation. By modeling the effects of time-varying delays more accurately, the method contributes both to a deeper understanding of how such delays affect system behavior and to more reliable tools for analyzing systems where delays are a built-in feature that cannot be ignored.

Item Type:	Article
Uncontrolled Keywords:	Delay-dependent Stability, Delay-differential Equations, Time-varying Delays, Control Theory, Robust stability
Subjects:	T Technology > TJ Mechanical Engineering and Machinery
Divisions:	Others
Depositing User:	Nurin Syazwani Azmi
Date Deposited:	11 Nov 2025 04:41
Last Modified:	11 Nov 2025 04:41
URII:	http://shdl.mmu.edu.my/id/eprint/14918

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