## Abstract and Applied Analysis

### Delay-Dependent Robust ${L}_{2}-{L}_{\infty }$ Filtering for a Class of Fuzzy Stochastic Systems

#### Abstract

This paper is concerned with the ${L}_{2}-{L}_{\infty }$ 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 ${L}_{2}-{L}_{\infty }$ 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

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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