Stability analysis for discrete-time two-dimensional switched systems

This paper studies the stability analysis problem for the discrete-time two-dimensional (2-D) switched systems under arbitrary and restricted switchings, which are formulated by the well-known Fornasini-Marchesini local state-space (FMLSS) model. Stability conditions are established for discrete-time 2-D switched systems under both arbitrary and restricted switching signals, respectively. The extended average dwell time approach is proposed and then utilized for the restricted switching case. Finally, one example is given to illustrate the effectiveness of the proposed methods.