Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Yet Another Version of Liu-michel's Criterion

Abstract

A novel criterion for the global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic is presented. The criterion, which is basically a new version of an earlier criterion due to Liu and Michel, is a generalization and improvement over a recently reported criterion. The generalization is due to the fact that the use of even unsymmetric Lyapunov matrix P is permitted. An example illustrating the improvement realized from the present criterion is given. (C) 2011 Elsevier GmbH. All rights reserved.