Neural Network Based Finite-Time Stabilization for Discrete-Time Markov Jump Nonlinear Systems with Time Delays

Fei Chen, Fei Liu and Hamid Reza Karimi

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:359265

DOI: 10.1155/2013/359265

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