Delay-dependent stability analysis for Two- Dimensional discrete systems with shift delays by the General Models

This paper is concerned with stability analysis for Two-dimensional (2-D) discrete systems with shift delays in the General Models (GM). Delay-dependent sufficient conditions for stability are derived and expressed in terms of linear matrix inequalities (LMIs). The stability theorem concludes stability theorems for 2-D discrete systems by the General Models and the Fornasini-Marchesini local state space models as special cases. A numerical example is given to demonstrate the effectiveness and the benefits of the present results.