Finite-Time Stability and Stabilization of Ito Stochastic Systems With Markovian Switching: Mode-Dependent Parameter Approach

This technical note is concerned about the finite-time stability and stabilization for Ito stochastic systems with Markovian switching. A mode-dependent parameter approach is proposed to give a sufficient condition for finite-time stability, and its superiority to common parameter approach is analyzed. Moreover, the finite-time stabilization is studied and two new sufficient conditions for the existence of state and output feedback controllers are presented in terms of coupled matrix inequalities. A N-mode algorithm is given for solving the obtained matrix inequalities arising from finite-time stability(stabilization). Finally, an example is employed to illustrate the effectiveness of our obtained results.