摘要：This paper is concerned with the problem of finite-time H ∞ 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 H ∞ performance index is derived. Based on the derived condition, the reliable H ∞ 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.
关键词：H ∞ finite-time stability ; time-varying delay ; Markov jump system ; H ∞ control ; delay partition approach
