Neural network based finite-time stabilization for discrete-time Markov jump nonlinear systems with time delays
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OriginalversjonChen, F., Liu, F., & Karimi, H. R. (2013). Neural network based finite-time stabilization for discrete-time Markov jump nonlinear systems with time delays. Abstract and Applied Analysis, 2013. doi: 10.1155/2013/359265 10.1155/2013/359265
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.
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/359265 Open Access