Stability criteria for 2-D discrete-time state-delayed systems subject to overflow and quantization nonlinearities

Abstract

This paper addresses the problem of stability analysis of the 2-D discrete time system described by Fornasini Marchesini second local state space model (FMLSS) with interval time-varying delay and subject to various combinations of quantization and overflow nonlinearities. Delay-dependent stability condition has been derived in terms of linear matrix inequalities (LMIs) by defining a Lyapunov functional. The derived condition depends on both the lower bound of delay and the delay range. The effectiveness of the proposed results is illustrated with the help of an example.