Some new stability conditions for two-dimensional difference systems

This paper considers robust stability of two-dimensional (2D) difference sy stems in the Fornasini-Marchesini (F-M) state space setting. An approach ba sed on the MacLaurine series expansion is presented First, a new and less c onservative sufficient condition for asymptotic stability of nominal 20 dis crete systems is derived. Then sufficient conditions for robust stability o f 2D discrete systems subjected to both structured and unstructured perturb ations are given. Finally, new robust stability conditions for 20 discrete- delay systems are derived. Numerical examples are given to illustrate the r esults.