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

*Correspondence: [email protected] 1School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, P.R. China Full list of author information is available at the end of the article Abstract 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.