## Abstract and Applied Analysis

### State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Systems

#### Abstract

We investigate the state-feedback stabilization problem for a class of stochastic feedforward nonlinear time-delay systems. By using the homogeneous domination approach and choosing an appropriate Lyapunov-Krasovskii functional, the delay-independent state-feedback controller is explicitly constructed such that the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the proposed design method.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 151374, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450226

Digital Object Identifier
doi:10.1155/2013/151374

Mathematical Reviews number (MathSciNet)
MR3139465

Zentralblatt MATH identifier
1293.93612

#### Citation

Liu, Liang; Yu, Zhandong; Zhou, Qi; Karimi, Hamid Reza. State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Systems. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 151374, 8 pages. doi:10.1155/2013/151374. https://projecteuclid.org/euclid.aaa/1393450226

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