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2013 Delay-Dependent Finite-Time H Filtering for Markovian Jump Systems with Different System Modes
Yong Zeng, Jun Cheng, Shouming Zhong, Xiucheng Dong
J. Appl. Math. 2013: 1-13 (2013). DOI: 10.1155/2013/269091

Abstract

This paper is concerned with the problem of delay-dependent finite-time H filtering for Markovian jump systems with different system modes. By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our results, a novel sufficient condition for finite-time boundness with an H performance index is derived. Particularly, two different Markov processes have been considered for modeling the randomness of system matrix and the state delay. Based on the derived condition, the H filtering problem is solved, and an explicit expression of the desired filter is also given; the system trajectory stays within a prescribed bound during a specified time interval. Finally, a numerical example is given to illustrate the effectiveness and the potential of the proposed techniques.

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Yong Zeng. Jun Cheng. Shouming Zhong. Xiucheng Dong. "Delay-Dependent Finite-Time H Filtering for Markovian Jump Systems with Different System Modes." J. Appl. Math. 2013 1 - 13, 2013. https://doi.org/10.1155/2013/269091

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1338.93383
MathSciNet: MR3064878
Digital Object Identifier: 10.1155/2013/269091

Rights: Copyright © 2013 Hindawi

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