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

Zhang, Tiehui; Li, Hengyu; Li, Jun; Pu, Huayan; Xie, Shaorong; Luo, Jun

doi:10.1007/s10846-021-01493-0

Cited by 4 publications

(2 citation statements)

References 48 publications

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“…It is said to reach the bidirectional formation consensus. This result is clarified by the following theorem [23]. , Then, the MLS will complete formation and further reach the bidirectional formation consensus.…”

Section: Fi Consensus In Bidirectional Trackingmentioning

confidence: 91%

Bidirectional formation-involved consensus for uncertain multi-Lagrange systems under directed signed topology networks

Liu

et al. 2023

Nonlinear Dyn

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To better describe the complex behaviors of multi-agent systems (MAS), this paper proposes a bidirectional formation-involved(FI) consensus control method for multi-Lagrange systems (MLS). It primarily considers the Lagrange systems with uncertain parameters and employs the bipartite topology in communication network. Under bidirectional formation control, the validity of this control protocol and the stability of the MLS are verified, by determining the consistency convergence of the Lyapunov function of the systems. For the given stabilized MLS, the leader is added with firstorder linear system to provide trajectory guidance. With cooperative-competitive interactions, MLS perform the FI complex behavior considering trajectory tracking. The experiment part provides sufficient simulation examples that are selected to be consistent with the systems in the theoretical part.

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Section: Fi Consensus In Bidirectional Trackingmentioning

confidence: 91%

Bidirectional formation-involved consensus for uncertain multi-Lagrange systems under directed signed topology networks

Liu

et al. 2023

Nonlinear Dyn

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“…Recent research in [13][14][15] gave discussions on the consensus problems for cooperative-competitive networks. Inspired by these works, Zhang provided a novel symmetric positive definite matrix to derive the gain selection criteria in the leader-following case for networked Lagrangian systems [16]. Zhang further introduced an acyclic partition and obtained the explicit expressions of the final states in the leaderless case [17].…”

Section: Introductionmentioning

confidence: 99%

Ordered-Bipartite Consensus of Multi-Agent Systems under Finite Time Control

Zhang

et al. 2022

Applied Sciences

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Since group consensus (GC) control accounts for one-half of the multi-robot coordination domain, as does complete consensus control, this paper will formulate a certain kind of GC and group bipartite consensus (GBC) in finite time for multi-agent systems (MAS). It should be noted that the key to this work is that information transfer under acyclic partition networks is zero-sum between groups and the cooperative–competitive interaction. The general GC will firstly be achieved under acyclic partition, which reflects the fact that such topology allows the MAS to reach agreement in an ordered and hierarchical process. Further, the information communication is zero-sum within each group under the acyclic partition signed digraph. Thus, the group–bipartite agreement for MAS is given under acyclic bipartite topology. These results display not only an ordered, hierarchical state, but also an intra-group symmetric state. In addition, simulation examples are presented in parallel with the theoretical results.

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Multi-Agent Bipartite Flocking Control Over Cooperation-Competition Networks With Asynchronous Communications

Ma,

Shi,

Chen

et al. 2024

IEEE Trans. on Signal and Inf. Process. over Networks

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

Cited by 4 publications

References 48 publications

Bidirectional formation-involved consensus for uncertain multi-Lagrange systems under directed signed topology networks

Bidirectional formation-involved consensus for uncertain multi-Lagrange systems under directed signed topology networks

Ordered-Bipartite Consensus of Multi-Agent Systems under Finite Time Control

Multi-Agent Bipartite Flocking Control Over Cooperation-Competition Networks With Asynchronous Communications

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