Asymptotic Stability of Switched $2D$ Fractional Order Positive Systems

In this paper, switched
$2D$
fractional order positive systems described by the Roesser model are introduced. The state space representation of each subsystem is given using the fractional difference definition. Necessary and sufficient conditions for the asymptotic stability are established via the methods of common Lyapunov function for any switching. Finally, numerical examples are employed to validate the proposed theoretical results.