A novel delay partitioning method for stability analysis of interval time-varying delay systems

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• 作者：Liming Ding^a ; ^c ; Yong He^b ; ^{heyong08@cug.edu.cn} ; Min Wu^b ; Zhiming Zhang^a
• 刊名：Journal of the Franklin Institute
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：354
• 期：2
• 页码：1209-1219
• 全文大小：259 K
• 卷排序：354

文摘

This paper investigates the problem of the delay-dependent stability for systems with interval time-varying delays. By using the idea of delay-partitioning approach, an appropriate delay partitioning point of h2−h1∈[0,h2]h2−h1∈[0,h2] has been selected. Based on this delay partitioning point, a new augmented Lyapunov–Krasovskii functional is constructed. Then, the free-matrix-based integral inequality is employed to estimate the derivative of Lyapunov–Krasovskii functional. As a result, less conservative criteria are presented. Numerical examples are given to illustrate the improvement of the presented approach over the existing ones.