Deakin University
Browse

File(s) not publicly available

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

journal contribution
posted on 2021-01-01, 00:00 authored by A Stephen, R Raja, J Alzabut, Q Zhu, M Niezabitowski, Chee Peng LimChee Peng Lim
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.

History

Journal

Mathematical Problems in Engineering

Volume

2021

Article number

ARTN 6616857

Pagination

1 - 20

Publisher

Hindawi

Location

Cairo, Egypt

ISSN

1024-123X

eISSN

1563-5147

Language

English

Publication classification

C1 Refereed article in a scholarly journal