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Consensus of Hybrid Multi-agent Systems

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TLDR
In this paper, the authors considered the consensus problem of hybrid multi-agent system and proposed three kinds of consensus protocols for HMMS, which are based on matrix theory and graph theory.
Abstract
In this paper, we consider the consensus problem of hybrid multi-agent system. First, the hybrid multi-agent system is proposed which is composed of continuous-time and discrete-time dynamic agents. Then, three kinds of consensus protocols are presented for hybrid multi-agent system. The analysis tool developed in this paper is based on the matrix theory and graph theory. With different restrictions of the sampling period, some necessary and sufficient conditions are established for solving the consensus of hybrid multi-agent system. The consensus states are also obtained under different protocols. Finally, simulation examples are provided to demonstrate the effectiveness of our theoretical results.

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Citations
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Event-Triggered Control for Consensus of Multiagent Systems With Fixed/Switching Topologies

TL;DR: A novel distributed event-triggered communication protocol based on state estimates of neighboring agents is proposed to solve the consensus problem of the leader-following systems and can greatly reduce the communication load of multiagent networks.
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Fixed-Time Leader–Follower Consensus of Networked Nonlinear Systems via Event/Self-Triggered Control

TL;DR: This brief addresses the fixed-time event/self-triggered leader–follower consensus problems for networked multi-agent systems subject to nonlinear dynamics and proposes two new self-Triggered control strategies to avoid continuous triggering condition monitoring.
Journal ArticleDOI

Bipartite Consensus in Networks of Agents With Antagonistic Interactions and Quantization

TL;DR: By employing the techniques from nonsmooth analysis, it is proved that all agents can be guaranteed to asymptotically reach bipartite consensus for any logarithmic quantizer accuracy under connected and structurally balanced topology.
Journal ArticleDOI

Second-order consensus of hybrid multi-agent systems

TL;DR: By analyzing the interactive mode of different dynamic agents, two kinds of effective consensus protocols are proposed for the hybrid multi-agent system which is composed of continuous-time and discrete-time dynamic agents.
Journal ArticleDOI

Fast Consensus Seeking on Networks with Antagonistic Interactions

TL;DR: A superposition system to superpose to the original system is introduced and the result if the eigenvector x of eigenvalue λ has two identical entries xi=xj, then the weight and existence of the edge eij do not affect the magnitude of λ, which is the argument of this paper.
References
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Consensus problems in networks of agents with switching topology and time-delays

TL;DR: A distinctive feature of this work is to address consensus problems for networks with directed information flow by establishing a direct connection between the algebraic connectivity of the network and the performance of a linear consensus protocol.
Journal ArticleDOI

Consensus and Cooperation in Networked Multi-Agent Systems

TL;DR: A theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures, time-delays, and performance guarantees is provided.
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Coordination of groups of mobile autonomous agents using nearest neighbor rules

TL;DR: A theoretical explanation for the observed behavior of the Vicsek model, which proves to be a graphic example of a switched linear system which is stable, but for which there does not exist a common quadratic Lyapunov function.
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Novel Type of Phase Transition in a System of Self-Driven Particles

TL;DR: Numerical evidence is presented that this model results in a kinetic phase transition from no transport to finite net transport through spontaneous symmetry breaking of the rotational symmetry.
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Consensus seeking in multiagent systems under dynamically changing interaction topologies

TL;DR: It is shown that information consensus under dynamically changing interaction topologies can be achieved asymptotically if the union of the directed interaction graphs have a spanning tree frequently enough as the system evolves.
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