BIBO stability of shift-varying 2-D systems using wave model

Abstract

Stability condition for two dimensional (2-D) shift-varying systems is presented. The form considered in this paper is the Givone-Roesser (G-R) model, which is discrete 2-D state space system. The sufficient condition for BIBO stability is proved. For this proof, Wave model is used. Frist, G-R model is transformed into Wave model and then applied 1-D results on this model.