LMI-based criterion for the robust stability of 2D discrete state-delayed systems using generalized overflow nonlinearities
Summary: This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini Second Local State-Space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, Linear Matrix Inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.
global asymptotic stability of a class of discrete uncertain state-delayed systems
Fornasini-Marchesini second local state-space (FMSLSS) model
scientific article; zbMATH DE number 6013361