Passivity-Based Stabilization for Switched Stochastic Nonlinear Systems

Dear Editor, This letter addresses the passivity-based mean square exponential stabilization problem for switched stochastic nonlinear systems. A concept of generalized small-time norm-observability is presented and an appropriate test condition is also provided. For pre-given passivity rate and average dwell time, a set of feedback controllers is designed by use of the passivity property. Then, combining with generalized small-time norm-observability, a sufficient condition to guarantee mean square exponential stabilization of a switched stochastic nonlinear system is given. As a special case, the switched stochastic linear system has also similar results. Finally, a numeral example shows the effectiveness of the proposed method.