Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes. (26th May 2013)

• Record Type: Journal Article
• Authors: Zeng, Yong; Cheng, Jun; Zhong, Shouming; Dong, Xiucheng
• Other Names: Song Qiankun Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-05-26
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/269091
• Languages: English
• ISSNs: 1110-757X

Abstract

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.