title: Finite-time H∞ control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals.
abstract: This paper is concerned with the problem of finite-time H∞ control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed. Based on the derived condition, the reliable H∞ control problem is solved, and the system trajectory stays within a prescribed bound during a specified time interval. Finally, numerical examples are given to demonstrate the proposed approach is more effective than some existing ones.
authors: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: jcheng6819@126.com.
authors: Jun
authors: J
authors: Cheng
authors: Hong
authors: H
authors: Zhu
authors: Shouming
authors: S
authors: Zhong
authors: Yong
authors: Y
authors: Zeng
authors: Xiucheng
authors: X
authors: Dong
keywords: Markov jump system; Time-varying delay; control; finite-time stability