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

A. Stephen | Zendy; R. Raja | Zendy; Jehad Alzabut | Zendy; Quanxin Zhu | Zendy; Michał Niezabitowski | Zendy; Chee Peng Lim | Zendy

Open Access

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

Author(s) -

A. Stephen,

R. Raja,

Jehad Alzabut,

Quanxin Zhu,

Michał Niezabitowski,

Chee Peng Lim

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6616857

Subject(s) - kronecker product , lemma (botany) , control theory (sociology) , synchronization (alternating current) , nonlinear system , stability (learning theory) , mathematics , control (management) , computer science , kronecker delta , topology (electrical circuits) , artificial intelligence , ecology , quantum mechanics , combinatorics , machine learning , biology , physics , poaceae

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.

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