Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols

Wanli Guo, Wennuo He, Lili Shi, Wen Sun and Xiaoqing Lu

Applied Mathematics and Computation, 2021, vol. 400, issue C

Abstract: This paper studies the fixed-time consensus tracking (FixCT) problem for nonlinear stochastically disturbed multi-agent systems (MASs) in detail balanced graphs. Two novel and simple discontinuous control protocols are developed to facilitate consensus tracking in a fixed time. By using differential inclusions and the stochastic stability theory, rigorous consensus tracking proofs are provided; moreover, upper bounds of the settling time irrelevant to initial conditions are explicitly estimated. A numerical example is presented to corroborate the effectiveness of the proposed protocols.

Keywords: Fixed-time consensus tracking; Stochastic disturbances; Multi-agent systems; Discontinuous protocols (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:400:y:2021:i:c:s0096300321000941

DOI: 10.1016/j.amc.2021.126046

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