Stabilization of discrete-time linear systems with infinite distributed input delays

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number110786
Journal / PublicationAutomatica
Volume148
Online published12 Dec 2022
Publication statusPublished - Feb 2023

Abstract

This paper investigates the stabilization problem of discrete-time linear systems with infinite distributed input delays. A novel framework is adopted to analyze the stability of the concerned systems. Under this framework, two truncated predictor feedback controllers are developed for two classes of discrete-time linear systems with infinite distributed input delays via the low gain method respectively. It is shown that under the designed controllers, those two classes systems are globally exponentially stable. To the best of our knowledge, this is the first time that the stabilization problem of discrete-time linear systems with infinite distributed input delays is considered. Two simulation examples are provided to illustrate the effectiveness of the proposed controllers. © 2022 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Discrete-time systems, Infinite delays, Distributed input delays, Stabilization, FUNCTIONAL DIFFERENCE-EQUATIONS, STABILITY ANALYSIS, PREDICTOR FEEDBACK, GLOBAL STABILITY, EQUIVALENCE, RAZUMIKHIN, NETWORKS, BEHAVIOR