NEW STABILITY CRITERIA FOR INTERVAL TIME-DELAY SYSTEMS BY IMPROVED INTEGRAL INEQUALITIES

Yan Bai, Zhichen Li, Congzhi Huang, and Huaicheng Yan

Keywords

Timedelay systems, stability analysis, delay partitioning approach,Lyapunov–Krasovskii functionals

Abstract

New stability criteria are proposed for time-delay systems. By a delay partitioning approach, various novel Lyapunov–Krasovskii functionals are constructed. The relationship between delay and each subinterval is taken into account. Stability conditions are derived by improving integral inequalities. The obtained criteria are less conservative than some recent methods, which is validated by the numerical examples.

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