STABILITY OF 2-D DISCRETE-SYSTEMS DESCRIBED BY THE FORNASINI-MARCHESINI 2ND-MODEL

Based on the Fornasini-Marchesini second local state-space (LSS) model . criteria that sufficiently guarantee the asymptotic stability of 2-D discrete systems are given, A sufficient condition for a 2-D nonlinea r discrete system to be free of overflow oscillations is then shown in the case when a 2-D discrete system is employed by saturation arithme tic. Finally, an upper bound on parameter variations which guarantees the asymptotic stability of a perturbed 2-D discrete system is conside red. It is shown that the upper bound stated in this brief is less con servative than the existing ones.