Double-integrator consensus for a switching network without dwell time

Xiaofeng Chen; Xiaofeng Chen

doi:10.3934/mbe.2023516

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 7: 11627-11643. doi: 10.3934/mbe.2023516

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Research article

Double-integrator consensus for a switching network without dwell time

Xiaofeng Chen ^,

Fuzhou University of International Studies and Trade, Fuzhou 350202, China

Received: 10 March 2023 Revised: 19 April 2023 Accepted: 23 April 2023 Published: 06 May 2023

Due to a failure of communication, the connections among multi-agent system may switch extremely frequently. This paper focuses on the consensus of a multi-agent system with double-integrator dynamics in a generalized uniformly jointly connected switching network environment without dwell time. We prove that the distributed controller is robust against unreliable communication. The stability of the closed-loop system is proved by a virtual output technique and the generalized Krasovskii-LaSalle theorem. To validate the effectiveness of the proposed controller, a simulation example including a uniformly jointly connected network with dwell time and generalized uniformly jointly connected network without dwell time is presented.
- cooperative control,
- double integrator,
- consensus,
- generalized uniform joint connectivity
Citation: Xiaofeng Chen. Double-integrator consensus for a switching network without dwell time[J]. Mathematical Biosciences and Engineering, 2023, 20(7): 11627-11643. doi: 10.3934/mbe.2023516

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Abstract

Due to a failure of communication, the connections among multi-agent system may switch extremely frequently. This paper focuses on the consensus of a multi-agent system with double-integrator dynamics in a generalized uniformly jointly connected switching network environment without dwell time. We prove that the distributed controller is robust against unreliable communication. The stability of the closed-loop system is proved by a virtual output technique and the generalized Krasovskii-LaSalle theorem. To validate the effectiveness of the proposed controller, a simulation example including a uniformly jointly connected network with dwell time and generalized uniformly jointly connected network without dwell time is presented.

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