Practical Bipartite Consensus for Networked Lagrangian Systems in Cooperation-Competition Networks

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Tiehui Zhang ◽  
Hengyu Li ◽  
Jun Liu ◽  
Huayan Pu ◽  
Shaorong Xie ◽  
...  
Keyword(s):  
Lagrangian Systems ◽  
Bipartite Consensus ◽  
Networked Lagrangian Systems

scholarly journals Leader-Following Regional Multiple-Bipartite Consensus for Networked Lagrangian Systems with Coopetition Interactions

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 920
Author(s):  
Tiehui Zhang ◽  
Hengyu Li ◽  
Zhaoyan Wang ◽  
Shaorong Xie
Keyword(s):  
Auxiliary Variable ◽  
Cooperative Networks ◽  
Lagrangian Systems ◽  
Final States ◽  
Analysis Theory ◽  
Nonlinear Control Theory ◽  
Leader Following ◽  
Bipartite Consensus ◽  
The Stability ◽  
Networked Lagrangian Systems

This paper investigates the leader-following regional multiple-bipartite consensus problems of networked Lagrangian systems (NLSs) in coopetition networks. Our framework expands the application scopes of traditional regional consensus in cooperative networks. With the aid of a novel auxiliary variable embedded in the control protocols, the final states of NLSs are guaranteed to realise multi-regional symmetry in the constructed multiple symmetric regions. By utilising the characteristic of acyclic topology in the structurally balanced graph, the stability of the closed system is performed by perturbation analysis theory, nonlinear control theory, functional analysis theory, and so on. Finally, the effectiveness of our approach is verified by numerical simulations.

Distributed multiple-bipartite consensus in networked Lagrangian systems with cooperative-competitive interactions

2021 ◽  
Author(s):  
Tiehui Zhang ◽  
Hengyu Li ◽  
Jun Liu ◽  
Daowei Lu ◽  
Shaorong Xie ◽  
...  
Keyword(s):  
Collective Behavior ◽  
Lagrangian Systems ◽  
Group Consensus ◽  
Consensus Control ◽  
Control Laws ◽  
Cluster Group ◽  
Competitive Network ◽  
Leader Following ◽  
Bipartite Consensus ◽  
Networked Lagrangian Systems

Abstract In combination with the collective behavior evolutions of bipartite consensus and cluster/group consensus, this paper proposes the notion of multiple-bipartite consensus in networked Lagrangian systems (NLSs). The distributed leaderless and leader-following multiple-bipartite consensus control laws for NLSs are presented in the cooperative-competitive network, where the negative interactions between agents can exist in the same subnetwork. By introducing an acyclic partition and adding the integral item in the control protocols, the final explicit convergence states in the leaderless case are eventually obtained. Moreover, the leader-following scenario can be realized in fifinite time with integrated controllers. All of the effectiveness has been illustrated through numerical simulations.

Resilient Leader Tracking for Networked Lagrangian Systems Under DoS Attacks

2021 ◽  
Author(s):  
Xiaolei Li ◽  
Changyun Wen ◽  
Jiange Wang ◽  
Ci Chen ◽  
Chao Deng
Keyword(s):  
Lagrangian Systems ◽  
Dos Attacks ◽  
Networked Lagrangian Systems
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