Bipartite consensus of multi‐agent systems over signed graphs: State feedback and output feedback control approaches

@article{Zhang2017BipartiteCO,
  title={Bipartite consensus of multi‐agent systems over signed graphs: State feedback and output feedback control approaches},
  author={Hongwei Zhang and Jie Chen},
  journal={International Journal of Robust and Nonlinear Control},
  year={2017},
  volume={27},
  pages={14 - 3}
}
  • Hongwei Zhang, Jie Chen
  • Published 10 January 2017
  • Mathematics
  • International Journal of Robust and Nonlinear Control
This paper studies bipartite consensus problems for continuous‐time multi‐agent system over signed directed graphs. We consider general linear agents and design both state feedback and dynamic output feedback control laws for the agents to achieve bipartite consensus. Via establishing an equivalence between bipartite consensus problems and the conventional consensus problems under both state feedback and output feedback control approaches, we make direct application of existing state feedback… 

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References

SHOWING 1-10 OF 22 REFERENCES

Bipartite Consensus of Linear Multi-Agent Systems Over Signed Digraphs: An Output Feedback Control Approach

TLDR
The results show that structural balance property of the graph and an appropriate consensus error information are two crucial factors of bipartite consensus.

Output feedback bipartite consensus and consensus of linear multi-agent systems

  • Hongwei Zhang
  • Mathematics
    2015 54th IEEE Conference on Decision and Control (CDC)
  • 2015
TLDR
An equivalence is established between output feedback bipartite consensus problems and the conventional output feedback consensus problems, which enables a direct application of existing output feedbackensus algorithms to solve bipartites consensus problems.

Bipartite consensus of general linear multi-agent systems

TLDR
It is shown that for general linear agents, bipartite consensus over signed graphs and ordinary consensus over non negative graphs are equivalent, which indicates that prevailing consensus controllers for nonnegative graphs can be adopted to solve bipartITE consensus problems.

Output-based high-order bipartite consensus under directed antagonistic networks

TLDR
The implementation provides three cases to validate the effectiveness of the developed criteria for bipartite consensus, which is equivalent to a linear stabilizable and detectable problem by introducing a gauge transformation.

Consensus Problems on Networks With Antagonistic Interactions

  • C. Altafini
  • Mathematics
    IEEE Transactions on Automatic Control
  • 2013
In a consensus protocol an agreement among agents is achieved thanks to the collaborative efforts of all agents, expresses by a communication graph with nonnegative weights. The question we ask in

Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint

TLDR
A distributed observer-type consensus protocol based on relative output measurements is proposed and a new framework is introduced to address in a unified way the consensus of multiagent systems and the synchronization of complex networks.

A General Framework for Robust Output Synchronization of Heterogeneous Nonlinear Networked Systems

TLDR
A general framework for robust output synchronization of a group of networked agents involving design strategies for both perturbed consensus and perturbed regulation problems, subject to a class of small gain conditions is established.

Robust homogenization and consensus of nonlinear multi-agent systems

Bipartite flock control of multi-agent systems

This paper addresses the bipartite flock control problem with or without a virtual leader. Using structurally balanced signed graph theory and LaSalle's invariance principle, we prove that the