Yan Bai, Zhichen Li, Congzhi Huang, and Huaicheng Yan
Time-delay systems, stability analysis, delay partitioning approach,Lyapunov–Krasovskii functionals
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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