2021
DOI: 10.1109/tac.2020.3006820
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Distributed Control of Multiconsensus

Abstract: We consider the problem of steering a multi-agent system to multi-consensus, namely a regime where groups of agents agree on a given value which may be different from group to group. We first address the problem by using distributed proportional controllers that implement additional links in the network modeling the communication protocol among agents and introduce a procedure for the optimal selection of them. Both the cases of single integrators and of second-order dynamics are taken into account and the sta… Show more

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Cited by 27 publications
(6 citation statements)
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“…Topology reconstruction method can show solutions more intuitively, introduce optimization methods to simplify the controller and preserve certain properties of topology. Multi-consensus can be formed in original topology network, 45,46 but under the action of cyber-attack, original multi-consensus will be affected and the topology structure will also be destroyed. Considering that the attacked topology cannot be repaired, the design of a multi-consensus recovery topology reconstruction controller should be studied, which can recover original multi-consensus.…”
Section: Literature Reviewmentioning
confidence: 99%
See 1 more Smart Citation
“…Topology reconstruction method can show solutions more intuitively, introduce optimization methods to simplify the controller and preserve certain properties of topology. Multi-consensus can be formed in original topology network, 45,46 but under the action of cyber-attack, original multi-consensus will be affected and the topology structure will also be destroyed. Considering that the attacked topology cannot be repaired, the design of a multi-consensus recovery topology reconstruction controller should be studied, which can recover original multi-consensus.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Then as to illustrate the design of topology reconstruction controller, the following lemma 46 existing between EEP and the Laplacian matrix of its corresponding digraph is introduced. Lemma 4.…”
Section: Topology Reconstruction Controllermentioning
confidence: 99%
“…graph (e.g., Jadbabaie et al (2003); Olfati-Saber et al (2007); Aeyels and De Smet (2010); Ren and Cao (2010); Chen et al (2011); Egerstedt et al (2012); Wang and Lu (2019); Gambuzza and Frasca (2020); Mattioni (2020); Cristofaro and Mattioni (2021)). In case of integrator dynamics, the consensus of the network is dictated by the properties of the underlying graph.…”
Section: Introductionmentioning
confidence: 99%
“…In the past decades, scholars have carried out in-depth research on the consensus and multi-consensus [6,7] of the first-order and second-order (linear and nonlinear, homogeneous and heterogeneous [8,9]) MASs under different topologies, time delays, sampleddata, asynchronous and aperiodic communications, time-driven jumps, and have achieved fruitful results [10][11][12][13][14][15]. Subsequently, some scholars extended the classical first-order and second-order MASs to high-order MASs [16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%