## Abstract and Applied Analysis

### Resilient Robust Finite-Time ${L}_{2}\text{-}{L}_{\infty }$ Controller Design for Uncertain Neutral System with Mixed Time-Varying Delays

#### Abstract

The delay-dependent resilient robust finite-time ${L}_{2}\text{-}{L}_{\infty }$ control problem of uncertain neutral time-delayed system is studied. The disturbance input is assumed to be energy bounded and the time delays are time-varying. Based on the Lyapunov function approach and linear matrix inequalities (LMIs) techniques, a state feedback controller is designed to guarantee that the resulted closed-loop system is finite-time bounded for all uncertainties and to satisfy a given ${L}_{2}\text{-}{L}_{\infty }$ constraint condition. Simulation results illustrate the validity of the proposed approach.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 304824, 12 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605742

Digital Object Identifier
doi:10.1155/2014/304824

Mathematical Reviews number (MathSciNet)
MR3212410

#### Citation

Chen, Xia; He, Shuping. Resilient Robust Finite-Time ${L}_{2}\text{-}{L}_{\infty }$ Controller Design for Uncertain Neutral System with Mixed Time-Varying Delays. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 304824, 12 pages. doi:10.1155/2014/304824. https://projecteuclid.org/euclid.aaa/1412605742

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