Sun, Y, Li, W, Shi, H et al. (2 more authors) (2019) Finite-Time and Fixed-Time Consensus of Multiagent Networks with Pinning Control and Noise Perturbation. SIAM Journal on Applied Mathematics, 79 (1). pp. 111-130. ISSN 0036-1399
Abstract
In this paper we investigate the finite-time and fixed-time consensus problems of multiagent networks with pinning control and noise perturbation. In order to reach the finite-time and fixed-time consensus, several pinning protocols are proposed. Compared with the consensus protocols without pinning control, the proposed finite-time and fixed-time protocols need to control only a small fraction of agents, which is practical and has advantages from the physical viewpoint of energy consumption. More specifically, the deterministic and stochastic protocols include the graph $(p+1)$-Laplacian, a nonlinear generalization of the standard graph Laplacian. We show that, unlike the protocols with the standard (linear) graph Laplacian, those with the graph $(p+1)$-Laplacian solve the finite-time as well as the fixed-time consensus problems. By using the finite-time and fixed-time stability theory and the algebra graph theory, sufficient conditions are established to ensure the finite-time and fixed-time consensus. Finally, numerical simulations are presented to illustrate the correctness of the theoretical results.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019, Society for Industrial and Applied Mathematics. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | consensus; collective behavior; multiagent system; noise |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 14 Dec 2018 15:42 |
Last Modified: | 25 Jun 2023 21:38 |
Status: | Published |
Publisher: | Society for Industrial and Applied Mathematics |
Identification Number: | 10.1137/18M1174143 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139979 |