1. A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
- Author
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Michal Niezabitowski, Chee Peng Lim, Jehad Alzabut, Quanxin Zhu, A. Stephen, and Ramachandran Raja
- Subjects
Kronecker product ,0209 industrial biotechnology ,Lemma (mathematics) ,Article Subject ,Computer science ,General Mathematics ,Multi-agent system ,General Engineering ,Stability (learning theory) ,Functional approach ,02 engineering and technology ,Engineering (General). Civil engineering (General) ,Computer Science::Multiagent Systems ,Nonlinear system ,symbols.namesake ,020901 industrial engineering & automation ,Exponential stability ,Control theory ,Synchronization (computer science) ,QA1-939 ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,020201 artificial intelligence & image processing ,TA1-2040 ,Mathematics - 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.
- Published
- 2021