Exponential moment stability on discrete time Markovian switching singular systems

This paper addresses the problem of exponential moment stability for a class of discrete time Markovian jump singular systems. To solve this problem, a stochastic process dependent coordinate transformation is proposed via constructing rank-canonical form of transformation matrix. A series of criteria of exponential moment stability including spectral radius-based moment stability for the underlying systems are established in light of the rank-canonical form of transformation and cumulant generating function as well as extended system approach. The effectiveness of the proposed results is illustrated by two numerical examples.