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, issue 1

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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https://doi.org/10.1155/2013/359265

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:359265

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