A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays. (13th May 2021)

• Record Type: Journal Article
• Authors: Stephen, A.; Raja, R.; Alzabut, J.; Zhu, Q.; Niezabitowski, M.; Lim, C. P.
• Other Names: Lo Schiavo Alessandro Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-05-13
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/6616857
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.