Observer-based leader-following cluster consensus for positive multi-agent systems with input time-varying delay

R. Sakthivel, A. Parivallal, Oh-Min Kwon and S. Manickavalli

International Journal of Systems Science, 2024, vol. 55, issue 14, 3017-3031

Abstract: This work aims to analyse the cluster consensus for positive multi-agent systems (MASs) with nonlinearities. This study focuses on introducing an observer-based controller with the aim of achieving cluster consensus in the considered positive nonlinear MASs, where the controller includes time-varying delay. Specifically in cluster consensus, agents are divided into multiple clusters to accomplish various collective tasks, each influenced by distinct inter-cluster and intra-cluster communications. In this study, a fixed directed graph is employed to express the communication among agents. By designing a proper Lyapunov-Krasovskii functional and utilising the properties of graph, a set of conditions required for cluster consensus of the examined MASs is established as linear matrix inequalities. Finally, the effectiveness of the derived theoretical findings is confirmed through numerical examples.

Date: 2024
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DOI: 10.1080/00207721.2024.2364294

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