New results on dissipativity analysis of singular systems with time-varying delay

作者：Zhi, Ya-Li; He, Yong^*; Wu, Min; Liu, Qingping

来源：Information Sciences, 2019, 479: 292-300.

DOI：10.1016/j.ins.2018.12.010

• Dissipativity
• Singular systems with time-varying delay
• State decomposition method
• Lyapunov-Krasovskii functional

This paper focuses on the dissipativity analysis of singular systems with time-varying delay. The objective is to obtain a less conservative criterion with less computational demand. Based on the state decomposition method, singular systems are rewritten as differential subsystems and algebraic ones. First of all, the components of state vectors are applied to design a novel Lyapunov-Krasovskii functional (LKF) for the differential subsystems. Then, in the derivative of the LKF, the algebraic ones are introduced and the Wirtinger-based integral inequality together with the extended reciprocally convex matrix inequality is adopted to estimate the single integral term. Therefore, a new dissipativity criterion is obtained, which realizes both less conservativeness and less computational demand. Finally, two numerical examples are given to verify the superiority of the proposed method.

• 出版日期2019-4
• 单位中国地质大学（北京）; 中南大学