On exponential and L2-exponential stability of continuous-time delay-difference systems

Zhao-Yan Li, Qianqian Zhang and Bin Zhou

Applied Mathematics and Computation, 2024, vol. 481, issue C

Abstract: In this paper, the exponential stability (ES) and L2-exponential stability (L2-ES) of continuous-time delay-difference systems are studied. Firstly, the relationship between ES and L2-ES of the studied system is systematically presented. Secondly, a novel Lyapunov stability theorem is proposed to test both the ES and L2-ES with a guaranteed convergence rate of the system. Then, for a particular class of delay-difference systems with both point delays and distributed delays having exponential integral kernels, some stability criteria based on linear matrix inequalities (LMIs) are established by selecting suitable Lyapunov-Krasovskii functionals (LKFs) and using a delay decomposition technique. Finally, a numerical example is worked out to illustrate the effectiveness of the theoretical results.

Keywords: Continuous-time delay-difference systems; Exponential stability; L2-exponential stability; Lyapunov-Krasovskii functionals (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:481:y:2024:i:c:s0096300324004107

DOI: 10.1016/j.amc.2024.128949

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