Finite-Time Annular Domain Stability and Stabilization of Discrete-Time Stochastic Systems

This paper discusses the problems of the finite-time annular domain stability (FTAD-stability) and stabilization of discrete-time stochastic systems (DTSS). First, a definition of FTAD-stability for DTSS is given and a stability criterion is also proposed. Second, we respectively give some sufficient conditions for the existence of state feedback controller (SFC), static output feedback controller (SOFC) and dynamic output feedback controller (DOFC). Finally, a numerical example is utilized to show the effectiveness of proposed method.