Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/79634
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Type: Journal article
Title: Finite-time stabilisation for Markov jump systems with Gaussian transition probabilities
Author: Luan, X.
Shi, P.
Liu, F.
Citation: IET Control Theory and Applications, 2013; 7(2):298-304
Publisher: The Institution of Engineering and Technology
Issue Date: 2013
ISSN: 1751-8644
1751-8652
Statement of
Responsibility: 
Xiaoli Luan, Peng Shi and Fei Liu
Abstract: The problems of finite-time analysis and design for a class of Markov jump systems with Gaussian transition probabilities (TPs) are investigated in this study. Gaussian TP density function is introduced to quantise the stochastic uncertain information of TPs. Mode-dependent and variation-dependent controller is designed to make the resulting closed-loop systems finite-time bounded and finite-time stabilisable for all admissible unknown external disturbances and random uncertain TPs. It is shown that the approach proposed in the paper dealing with TPs outperforms available ones in literature to date, which is also confirmed by a numerical example.
Rights: © The Institution of Engineering and Technology 2013
RMID: 0020130429
DOI: 10.1049/iet-cta.2012.0509
Appears in Collections:Electrical and Electronic Engineering publications

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