Finite-time control for a class of Markovian jump systems with mode-dependent time-varying delay

作者：Cheng, Jun^*; Li, Guihua; Zhu, Hong; Zhong, Shouming; Zeng, Yong

来源：Advances in Difference Equations, 2013, 214.

DOI：10.1186/1687-1847-2013-214

• H-infinity finite-time stability
• time-varying delay
• Markov jump system
• H-infinity control
• delay partition approach

This paper is concerned with the problem of finite-time control for a class of Markovian jump system with mode-dependent time-varying delay. By using the new augmented multiple Lyapunov function with more general decomposition approach, a novel sufficient condition for finite-time bounded with an performance index is derived. Based on the derived condition, the reliable control problem is solved, and an explicit expression of the desired controller is also given, the system trajectory stays within a prescribed bound during a specified time interval. Finally, numerical examples are given to demonstrate that the proposed approach is more effective than some existing ones.

• 出版日期2013
• 单位中国民用航空飞行学院