Robust stability of 2-D discrete systems employing generalized overflow nonlinearities: An LMI approach

This paper deals with the problem of global asymptotic stability of a class of uncertain discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The systems under investigation involve parameter uncertainties that are assumed to be deterministic and norm bounded. An LMI-based criterion for the global asymptotic stability of such systems is proposed. The proposed criterion is compared with previously reported criteria. (C) 2010 Elsevier Inc. All rights reserved.