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

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  • Fei Chen
  • Fei Liu
  • Hamid Reza Karimi

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.

Suggested Citation

  • Fei Chen & Fei Liu & Hamid Reza Karimi, 2013. "Neural Network Based Finite-Time Stabilization for Discrete-Time Markov Jump Nonlinear Systems with Time Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:359265
    DOI: 10.1155/2013/359265
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