Stability analysis of discrete-time systems with arbitrary delay kernels based on kernel-related summation inequality and model transformation

Yi-Bo Huang, Zhihuan Song and Wei Yu

Applied Mathematics and Computation, 2024, vol. 476, issue C

Abstract: In the existing papers considering the stability analysis of discrete-time systems with distributed delays via the Lyapunov-Krasovskii functional (LKF) method, the delay kernels are normally restricted to be non-negative. In this paper, we aim to remove such a restriction and deal with the stability analysis of systems with arbitrary delay kernels. For this purpose, a kernel-related summation inequality is first constructed. Then, a stability condition is derived based on the proposed inequality and a model transformation. Finally, two numerical examples are presented to show that the proposed stability condition not only has a wider scope of application and is less conservative than the existing ones.

Keywords: Stability criteria; Lyapunov-Krasovskii functional method; Distributed delays; Model transformation; Summation inequalities (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002121

DOI: 10.1016/j.amc.2024.128740

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