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Robust Stability of a Class of Uncertain Markov Jump Nonlinear Systems

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2 Author(s)
de Souza, Carlos E. ; Dept. of Syst. & Control, Laboratorio Nacional de Computacao Ciendfica, Petropolis ; Coutinho, D.F.

This note addresses the problem of robust stability analysis for a class of Markov jump nonlinear systems subject to polytopic-type parameter uncertainty. A condition for robust local exponential mean square stability in terms of linear matrix inequalities is developed. An estimate of a robust domain of attraction of the origin is also provided. The approach is based on a stochastic Lyapunov function with polynomial dependence on the system state and uncertain parameters. A numerical example illustrates the proposed result

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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 11 )