Exponential stabilization for discrete-time uncertain 2-D switched systems

In this paper, the problem of exponential stabilization is investigated for a class of discrete-time uncertain two-dimensional (2-D) switched systems, which are formulated by the well-known Fornasini-Marchesini local state-space model. Firstly, the extended average dwell time technique combining with the piecewise Lyapunov function approach is developed and the exponential stability condition is established for such systems with parameter uncertainties under the restricted switching signal. Then based on the stability analysis results, sufficient conditions for the existence of an admissible controller are given to ensure the exponential stability of the resulting closed-loop system. Finally, an example is provided to illustrate the effectiveness of the proposed new design techniques.