Stability conditions for discrete systems

This paper investigates the problem of finite-time stability for discrete-time neural networks with sector-bounded neuron activation functions and interval-like timevarying delay. The extended reciprocally convex approach is used to establish a delay-dependent sufficient condition to ensure finite-time stability for this class of systems.

12p viling 11-10-2024 0 0   Download

Lecture "Fundamentals of control systems - Chapter 8: Analysis of discrete control systems" presentation of content: Stability conditions for discrete systems, extension of Routh - Hurwitz criteria, jury criterion, root locus,... Invite you to reference.

60p doinhugiobay_17 04-03-2016 60 7   Download

ASYMPTOTIC ESTIMATES AND EXPONENTIAL STABILITY FOR HIGHER-ORDER MONOTONE DIFFERENCE EQUATIONS ´ EDUARDO LIZ AND MIHALY PITUK Received 21 May 2004 Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It is shown that in some cases the exponential estimates can be replaced with a more precise limit relation.

15p sting12 10-03-2012 58 5   Download

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 ,xm−σ,n−τ ), 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 = (−∞, ∞). Some sufficient conditions for this system to be stable and exponentially stable...

12p sting12 10-03-2012 49 6   Download