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International Journal of Control, Vol.85, No.4, 343-349, 2012
On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters
In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e(lambda t)-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.
Keywords:stochastic nonlinear system;Markovian jump parameter;stochastic input-to-state stability;e(lambda t)-weighted (integral);input-to-state stability