Article ID Journal Published Year Pages File Type
717050 IFAC Proceedings Volumes 2013 6 Pages PDF
Abstract

In this paper, we analyze the stability properties of a class of systems governed by linear difference equations. Lyapunov stability and asymptotic stability are analyzed using two different approaches, namely Lyapunov-Krasovskii techniques and spectral techniques. In the case of commensurable delays, we carry out an analytical form of the solution, allowing us to determine necessary and sufficient conditions for stability. A link with discrete-time systems is made, and some comments on time-varying delays are proposed.***Copyright©2013 IFAC

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics