Abstract and Applied Analysis

Delay-Dependent Robust L 2 - L Filtering for a Class of Fuzzy Stochastic Systems

Ze Li and Xinhao Yang

Full-text: Open access

Abstract

This paper is concerned with the L 2 - L filtering problem for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system with time-varying delay and parameter uncertainties. Parameter uncertainties in the system are assumed to satisfy global Lipschitz conditions. And the attention of this paper is focused on the stochastically mean-square stability of the filtering error system, and the L 2 - L performance level of the output error with the disturbance input. The method designed for the delay-dependent filter is developed based on linear matrix inequalities. Finally, the effectiveness of the proposed method is substantiated with an illustrative example.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 673956, 10 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412605753

Digital Object Identifier
doi:10.1155/2014/673956

Mathematical Reviews number (MathSciNet)
MR3198229

Citation

Li, Ze; Yang, Xinhao. Delay-Dependent Robust ${L}_{2}-{L}_{\infty }$ Filtering for a Class of Fuzzy Stochastic Systems. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 673956, 10 pages. doi:10.1155/2014/673956. https://projecteuclid.org/euclid.aaa/1412605753


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