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

作者：Ding, Liming; He, Yong^*; Wu, Min; Zhang, Zhiming

来源：Journal of the Franklin Institute, 2017, 354(2): 1209-1219.

DOI：10.1016/j.jfranklin.2016.11.022

• DEPENDENT STABILITY
• LINEAR-SYSTEMS
• ASYMPTOTIC STABILITY
• CRITERIA
• STABILIZATION
• INEQUALITY
• STATE

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 h(2) - h(1) is an element of [0, h(2)] 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 Krasovsldi 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.

• 出版日期2017-1
• 单位湖南大学; 中南大学; 中国地质大学（北京）