An Improved Criterion for the Global Asymptotic Stability of 2-D Discrete State-Delayed Systems with Saturation Nonlinearities

Abstract

This paper investigates the global asymptotic stability of two-dimensional discrete state-delayed systems described by the Fornasini-Marchesini second local state-space model employing saturation nonlinearities. The structural properties of the multiple saturation nonlinearities in a greater detail are taken into account. Consequently, an improved delay-dependent stability criterion is obtained which is expressed in terms of linear matrix inequalities. The criterion is compared with a previously reported criterion. Finally, numerical examples are given to illustrate the usefulness of the proposed result.