Báo Cáo Báo cáo nghiên cứu hóa học STABILITY FOR DELAYED GENERALIZED 2D DISCRETE LOGISTIC SYSTEMS CHUAN JUN

STABILITY FOR DELAYED GENERALIZED 2D DISCRETE LOGISTIC SYSTEMS CHUAN JUN TIAN AND GUANRONG CHEN Received 28 August 2003 and in revised form 19 February 2004

This paper is concerned with delayed generalized 2D discrete logistic systems of the form xm+1,n = f (m,n,xm,n ,xm,n+1 ,xmưσ,nưτ ), where σ and τ are positive integers, f : N2 × R3 → 0 R is a real function, which contains the logistic map as a special case, and m and n are nonnegative integers, where N0 = {0,1, .} and R = (ư∞, ∞). Some sufficient conditions for this system to be stable and exponentially stable are derived.


1. Introduction In engineering applications, particularly in the fields of digital filtering, imaging, and spatial dynamical systems, 2D discrete systems have been a subject of focus for investigation (see, e.g., [1, 2, 3, 4, 5, 6] and the references cited therein). In this paper, we consider the delayed generalized 2D discrete systems of the form