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Consensus seeking in multiagent systems under dynamically changing interaction topologies

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TLDR
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.
Abstract
This note considers the problem of information consensus among multiple agents in the presence of limited and unreliable information exchange with dynamically changing interaction topologies. Both discrete and continuous update schemes are proposed for information consensus. This note shows 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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Citations
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Journal ArticleDOI

Impulsive synchronization of networked nonlinear dynamical systems

TL;DR: In this article, an impulsive control protocol is designed for network with fixed topology based on the local information of agents, and sufficient conditions are given to guarantee the synchronization of the networked nonlinear dynamical system.
Journal ArticleDOI

Distributed exponential finite-time coordination of multi-agent systems: containment control and consensus

TL;DR: A smaller settling time of the Lyapunov function is obtained, which manifests in a faster convergence rate than the traditional one and the weakly connected topology considered in this paper is more general than the ones (a spanning tree, a spanning forest, and so on) in other coordination problems.
Journal ArticleDOI

Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays

TL;DR: To eliminate impulse terms in singular swarm systems and ensure that the singular Swarm systems can achieve containment, time-delayed protocols are presented for leaders and followers respectively.
Journal ArticleDOI

Consensus of Discrete-Time Linear Multiagent Systems With Communication, Input and Output Delays

TL;DR: A distributed predictor-based controller is proposed and it is shown that the output consensus problem can be solved via the proposed controller, and a new property of graphs is established, that is, uniform sequential connectivity and uniform quasi-strong connectivity are equivalent.
Journal ArticleDOI

Fully Distributed Scaled Consensus Tracking of High-Order Multiagent Systems With Time Delays and Disturbances

TL;DR: This article focuses on scaled consensus tracking for a class of high-order nonlinear multiagent systems with time delays and external disturbances, and a fully distributed consensus protocol is designed to drive all agents to achieve scaled consensus with preassigned ratios.
References
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Book

Matrix Analysis

TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Journal ArticleDOI

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.
Book

Algebraic Graph Theory

TL;DR: The Laplacian of a Graph and Cuts and Flows are compared to the Rank Polynomial.
Journal ArticleDOI

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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