Finite-time stability for switched singular systems

作者：Zhang Yao-Li; Wu Bao-Wei^*; Wang Yue-E; Han Xiao-Xia

来源：Acta Physica Sinica, 2014, 63(17): 170205.

DOI：10.7498/aps.63.170205

• switched singular systems
• finite-time stability
• model-dependent average dwell time

In this paper, finite-time stability and stabilization of switched singular systems are studied. Firstly, we discuss the solvability condition of the switched singular system and introduce the concepts of finite-time stability and finite-time boundness. Secondly, using the mode-dependent average dwell time method and the Lyapunov function method, we provide sufficient conditions to guarantee that the switched singular system is regular, impulse free, and finite-time stable or finite-time bounded. Then, we design the state feedback controllers to ensure that a closed-loop system is finite-time stable and finite-time bounded with a present H-infinity disturbance attenuation level gamma. Finally, numerical examples are given to verify the efficiency of the proposed theory.

• 出版日期2014-9-5
• 单位陕西师范大学