Open Access
Translator Disclaimer
2013 Neural Network Based Finite-Time Stabilization for Discrete-Time Markov Jump Nonlinear Systems with Time Delays
Fei Chen, Fei Liu, Hamid Reza Karimi
Abstr. Appl. Anal. 2013(SI56): 1-8 (2013). DOI: 10.1155/2013/359265

Abstract

This paper deals with the finite-time stabilization problem for discrete-time Markov jump nonlinear systems with time delays and norm-bounded exogenous disturbance. The nonlinearities in different jump modes are parameterized by neural networks. Subsequently, a linear difference inclusion state space representation for a class of neural networks is established. Based on this, sufficient conditions are derived in terms of linear matrix inequalities to guarantee stochastic finite-time boundedness and stochastic finite-time stabilization of the closed-loop system. A numerical example is illustrated to verify the efficiency of the proposed technique.

Citation

Download Citation

Fei Chen. Fei Liu. Hamid Reza Karimi. "Neural Network Based Finite-Time Stabilization for Discrete-Time Markov Jump Nonlinear Systems with Time Delays." Abstr. Appl. Anal. 2013 (SI56) 1 - 8, 2013. https://doi.org/10.1155/2013/359265

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1291.93313
MathSciNet: MR3108643
Digital Object Identifier: 10.1155/2013/359265

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2013 • No. SI56 • 2013
Back to Top