New approach to stability of 2-D discrete systems with state saturation

A new criterion for the global asymptotic stability of 2-D discrete systems described by the Roesser model using saturation arithmetic is presented. The criterion is a generalization over an earlier criterion due to Liu and Michel. The generalized criterion has the feature that Lyapunov matrix P is not restricted to be symmetric, i.e., P can be even unsymmetric. A modified form of the criterion is also presented. Two examples showing the effectiveness of the generalized approach to yield new 2-D stability results are provided. To the best of author's knowledge, the use of unsymmetric P to obtain new 2-D stability conditions (i.e., conditions which are outside the scope of symmetric P) is demonstrated, for first time, in this paper.

► We present a new criterion for stability of Roesser model based 2-D discrete systems with state saturation. ► The criterion has the feature that Lyapunov matrix P is not restricted to be symmetric. ► Use of unsymmetric P to obtain new 2-D stability conditions is demonstrated for the first time.