A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays

A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays

This study focuses on mixed time delayed, both leaderless and leader-follower problems of nonlinear multi-agent systems. Here, we find the stability criteria for multi-agent systems (MASs) by utilizing a proposed lemma, the Lyapunov–Krasovskii functions, analytical techniques, Kronecker product, and...

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Main Authors: A. Stephen, R. Raja, J. Alzabut, Q. Zhu, M. Niezabitowski, C. P. Lim
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/6616857
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spelling doaj-eb279c07ae424b2182244214f3e200a82021-05-24T00:16:02ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/6616857A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time DelaysA. Stephen0R. Raja1J. Alzabut2Q. Zhu3M. Niezabitowski4C. P. Lim5Department of MathematicsRamanujan Centre for Higher MathematicsDepartment of Mathematics and General SciencesSchool of Mathematics and StatisticsFaculty of Automatic Control Electronics and Computer ScienceInstitute for Intelligent System Research and InnovationThis study focuses on mixed time delayed, both leaderless and leader-follower problems of nonlinear multi-agent systems. Here, we find the stability criteria for multi-agent systems (MASs) by utilizing a proposed lemma, the Lyapunov–Krasovskii functions, analytical techniques, Kronecker product, and some general specifications to obtain the asymptotic stability for the constructed MASs. Furthermore, the criteria to establish the synchronization of leader-follower multiagent systems with linear feedback controllers are discussed. Finally, we provide two numerical calculations along with the computational simulations to check the validity of the theoretical findings reported for both leaderless and leader-follower problem in this study.http://dx.doi.org/10.1155/2021/6616857
collection DOAJ
language English
format Article
sources DOAJ
author A. Stephen
R. Raja
J. Alzabut
Q. Zhu
M. Niezabitowski
C. P. Lim
spellingShingle A. Stephen
R. Raja
J. Alzabut
Q. Zhu
M. Niezabitowski
C. P. Lim
A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
Mathematical Problems in Engineering
author_facet A. Stephen
R. Raja
J. Alzabut
Q. Zhu
M. Niezabitowski
C. P. Lim
author_sort A. Stephen
title A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
title_short A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
title_full A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
title_fullStr A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
title_full_unstemmed A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
title_sort lyapunov–krasovskii functional approach to stability and linear feedback synchronization control for nonlinear multi-agent systems with mixed time delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description This study focuses on mixed time delayed, both leaderless and leader-follower problems of nonlinear multi-agent systems. Here, we find the stability criteria for multi-agent systems (MASs) by utilizing a proposed lemma, the Lyapunov–Krasovskii functions, analytical techniques, Kronecker product, and some general specifications to obtain the asymptotic stability for the constructed MASs. Furthermore, the criteria to establish the synchronization of leader-follower multiagent systems with linear feedback controllers are discussed. Finally, we provide two numerical calculations along with the computational simulations to check the validity of the theoretical findings reported for both leaderless and leader-follower problem in this study.
url http://dx.doi.org/10.1155/2021/6616857
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