Stability criterion for uncertain 2-D discrete systems with interval-like time-varying delay employing quantization/overflow nonlinearities

Abstract

This paper considers the problem of global asymptotic stability of a class of two-dimensional (2- D) uncertain discrete systems described by the Fornasini Marchesini second local state-space (FMSLSS) model under the influence of various combinations of quantization/overflow nonlinearities and interval-like time-varying delay in the state. The systems under consideration involve parameter uncertainties that are assumed to be deterministic and norm-bounded. A delay-dependent stability criterion is established by bounding the forward difference of the 2- D Lyapunov functional using the reciprocally convex approach. The criterion is compared with a recently reported criterion.