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Journal ArticleDOI

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

Consensus control for a class of networks of dynamic agents

TL;DR: A linear consensus protocol is established for solving such a consensus problem that includes two parts, a local speed feedback controller and the interactions from the finite neighbours and the protocol performance is discussed as well.
Journal ArticleDOI

Adaptive Consensus Control for a Class of Nonlinear Multiagent Time-Delay Systems Using Neural Networks

TL;DR: It is proved that the proposed adaptive neural network (NN) consensus control method guarantees the convergence on the basis of Lyapunov stability theory.
Journal ArticleDOI

On distributed averaging algorithms and quantization effects

TL;DR: This work proposes and analyzes distributed averaging algorithms under the additional constraint that agents can only store and communicate quantized information, so that they can only converge to the average of the initial values of the agents within some error.
Journal ArticleDOI

Distributed consensus of linear multi-agent systems with adaptive dynamic protocols

TL;DR: This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics for both the cases without and with a leader whose control input might be nonzero and time varying, and proposes two types of distributed adaptive dynamic consensus protocols.
Journal ArticleDOI

Broadcast Gossip Algorithms for Consensus

TL;DR: It is proved that the random consensus value is, in expectation, the average of initial node measurements and that it can be made arbitrarily close to this value in mean squared error sense, under a balanced connectivity model and by trading off convergence speed with accuracy of the computation.
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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