scholarly journals Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 3706-3714 ◽  
Author(s):  
Jun Liu ◽  
Hengyu Li ◽  
Jun Luo
Keyword(s):  
Network Topology ◽  
Harmonic Oscillators ◽  
Consensus Control ◽  
Coupled Harmonic Oscillators ◽  
Bipartite Consensus

Bipartite Consensus Control for a Swarm of Robots

2020 ◽  
Vol 143 (1) ◽  
Author(s):  
Jun Liu ◽  
Hengyu Li ◽  
Jinchen Ji ◽  
Jun Luo
Keyword(s):  
Network Topology ◽  
Laplacian Matrix ◽  
Lagrangian System ◽  
Consensus Control ◽  
Lagrangian Equations ◽  
Competitive Network ◽  
Simulation Results ◽  
Bipartite Consensus ◽  
Virtual Leader ◽  
Theoretical Results

Abstract This paper studies the bipartite consensus problem of a swarm of robots whose dynamics are formulated by Lagrangian equations. Two distributed bipartite consensus control protocols are proposed for a swarm of robots without a leader or with a virtual leader. For the nonleader case, the networked Lagrangian system can reach static bipartite consensus under the control protocol developed, and the final convergent states can be explicitly determined by the specific structure of the Laplacian matrix associated with the cooperative–competitive network topology. For the virtual leader case, all the followers can track the leader's state in a bipartite formation to realize bipartite tracking consensus. Finally, the simulation results are given to verify the theoretical results.

Adaptive cluster synchronisation of coupled harmonic oscillators with multiple leaders

2013 ◽  
Vol 7 (5) ◽  
pp. 765-772 ◽  
Author(s):  
Housheng Su ◽  
Hongwei Wang ◽  
Michael Z. Q. Chen ◽  
Najl V. Valeyev ◽  
Xiaofan Wang
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators ◽  
Multiple Leaders
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