JSH transformation and its application to stability analysis for linear discrete time-delay systems

摘要

This paper is concerned with stability analysis of linear discrete time-delay systems. Firstly, by JSH transformation, we developed a new necessary and sufficient condition for the asymptotic delay-dependent stability. Secondly, in order to make the designed results of this work more applicable, an unified matrix polynomial approach and numerical radius are used to get a sufficient delay-independent asymptotic stability criterion. The effectiveness and the conservatism reduction of the proposed asymptotic stability results are shown by means of three numerical examples. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.