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

Yige Guo; Xiang Xu; Lu Liu; Yong Wang; Gang Feng

doi:10.1016/j.automatica.2022.110786

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

Yige Guo, Xiang Xu, Lu Liu, Yong Wang^*, Gang Feng

^*Corresponding author for this work

Department of Biomedical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

8 Citations (Scopus)

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.

Original language	English
Article number	110786
Journal	Automatica
Volume	148
Online published	12 Dec 2022
DOIs	https://doi.org/10.1016/j.automatica.2022.110786
Publication status	Published - Feb 2023

Funding

This work was supported by the Research Grants Council of Hong Kong under grant CityU-11201120. The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Nikolaos Bekiaris-Liberis under the direction of Editor Miroslav Krstic.

Research Keywords

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

RGC Funding Information

RGC-funded

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10.1016/j.automatica.2022.110786

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Cite this

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title = "Stabilization of discrete-time linear systems with infinite distributed input delays",

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. {\textcopyright} 2022 Elsevier Ltd. All rights reserved.",

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

author = "Yige Guo and Xiang Xu and Lu Liu and Yong Wang and Gang Feng",

year = "2023",

month = feb,

doi = "10.1016/j.automatica.2022.110786",

language = "English",

volume = "148",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

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T1 - Stabilization of discrete-time linear systems with infinite distributed input delays

AU - Guo, Yige

AU - Xu, Xiang

AU - Liu, Lu

AU - Wang, Yong

AU - Feng, Gang

PY - 2023/2

Y1 - 2023/2

N2 - 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.

AB - 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.

KW - Discrete-time systems

KW - Infinite delays

KW - Distributed input delays

KW - Stabilization

KW - FUNCTIONAL DIFFERENCE-EQUATIONS

KW - STABILITY ANALYSIS

KW - PREDICTOR FEEDBACK

KW - GLOBAL STABILITY

KW - EQUIVALENCE

KW - RAZUMIKHIN

KW - NETWORKS

KW - BEHAVIOR

UR - http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000906819600001

U2 - 10.1016/j.automatica.2022.110786

DO - 10.1016/j.automatica.2022.110786

M3 - RGC 21 - Publication in refereed journal

SN - 0005-1098

VL - 148

JO - Automatica

JF - Automatica

M1 - 110786

ER -

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

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Research Keywords

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GRF: Cooperative Control of Networked Multiple Dynamical Systems with Unbounded Transmission Delays and Its Application

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

Abstract

Funding

Research Keywords

RGC Funding Information

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

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GRF: Cooperative Control of Networked Multiple Dynamical Systems with Unbounded Transmission Delays and Its Application

Cite this