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A Lyapunov-Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays
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posted on 2021-01-01, 00:00 authored by A Stephen, R Raja, J Alzabut, Q Zhu, M Niezabitowski, Chee Peng LimChee Peng LimThis 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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Journal
Mathematical Problems in EngineeringVolume
2021Article number
ARTN 6616857Pagination
1 - 20Publisher
HindawiLocation
Cairo, EgyptPublisher DOI
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ISSN
1024-123XeISSN
1563-5147Language
EnglishPublication classification
C1 Refereed article in a scholarly journalUsage metrics
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