Boundary Control Strategies for Consensus of Fractional-Order Multi-Agent Systems Based on Coupling PDE-ODEs | IEEE Journals & Magazine | IEEE Xplore

Boundary Control Strategies for Consensus of Fractional-Order Multi-Agent Systems Based on Coupling PDE-ODEs


Abstract:

This brief investigates the consensus problem in fractional-order multi-agent systems (MASs) modeling partial differential equations-ordinary differential equations (PDE-...Show More

Abstract:

This brief investigates the consensus problem in fractional-order multi-agent systems (MASs) modeling partial differential equations-ordinary differential equations (PDE-ODEs) by boundary control with directed topology. Boundary controllers reduce control costs, especially when deploying actuators in the entire spatial domain is impractical. As a result, actuators are positioned exclusively at spatial boundary locations in the boundary control method. Moreover, by applying the Mittage-Leffler function and some fractional-order inequalities, sufficient conditions for fractional-order MASs to reach consensus are obtained through LMI. Finally, a numerical simulation example illustrates the validity of the presented theory.
Page(s): 2179 - 2183
Date of Publication: 28 November 2023

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Funding Agency:

School of Information Science and Technology, Linyi University, Linyi, China
Institute of Advanced Technology, University of Science and Technology of China, Hefei, China
School of Mechanical and Vehicle Engineering, Linyi University, Linyi, China
School of Information Science and Technology, Linyi University, Linyi, China
School of Mathematics, Southeast University, Nanjing, China

School of Information Science and Technology, Linyi University, Linyi, China
Institute of Advanced Technology, University of Science and Technology of China, Hefei, China
School of Mechanical and Vehicle Engineering, Linyi University, Linyi, China
School of Information Science and Technology, Linyi University, Linyi, China
School of Mathematics, Southeast University, Nanjing, China
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