Stability analysis for continuous system with additive time-varying delays: A less conservative result

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摘要

This paper presents a less conservative result for stability analysis of continuous-time systems with additive delays by constructing a new Lyapunov–Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms in obtaining the stability condition in terms of linear matrix inequalities. Numerical example is provided to show the effectiveness of the proposed method compared to some recent results.

论文关键词:Multiple additive time-delays,Delay-dependent stability,Lyapunov–Krasovskii functional,Linear matrix inequality (LMI)

论文评审过程:Available online 16 November 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.11.014