Input To Output Stability And Stabilization Of Stochastic Nonlinear Systems

In modern Science, the stochastic system often effect by error. It require the stochastic system is not only the probability of stability, but also random input to state stability,That is,property of SIOS. If the input of system is some form of state or the similar one,then it has the property of stochastic input-output stability. SIOS is the extension of SISS, This development is more theoretical and practical significance. In this paper we discuss the property of SIOS with strict-feedback stochastic system, First,we give the definition of SIOS and proof the relation with SISS. Then,we research the feedback design of SIOS with error, At last,we disscuss the stabilization in the assumption of Randomized double-associated system.