Finite-Region Contractive Stability Analysis of 2-D Fornasini-Marchesini Systems

This paper investigates the finite-region contractive stability problem for the discrete-time two-dimensional (2-D) systems in Fornasini-Marchesini (FM) model. First, motivated by 1-D systems, the concepts of finite-region stability and finite-region contractive stability are introduced for 2-D systems. Then, sufficient conditions for the finite-region stability and finite-region contractive stability of 2-D FM system are derived based on the Lyapunov functionals, respectively. Finally, two numerical examples are presented to show the effectiveness of the proposed results.