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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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Consensus problem in directed networks of multi-agents via nonlinear protocols☆

TL;DR: In this article, the consensus problem via distributed nonlinear protocols for directed networks is investigated and its dynamical behaviors are described by ordinary differential equations (ODEs) based on graph theory, matrix theory and the Lyapunov direct method.
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Distributed robust estimation over randomly switching networks using H ∞ consensus

TL;DR: Enough conditions are proposed which guarantee a suboptimal H"~ level of relative disagreement of estimates in such observer networks which enable the network gains to be computed by solving certain LMIs.
Journal ArticleDOI

On the general consensus protocol of multi-agent systems with double-integrator dynamics

TL;DR: A periodic consensus protocol for multi-agent systems with double-integrator dynamics is obtained and it is revealed that the maximum convergence speed can be achieved by choosing suitable gains.
Journal ArticleDOI

Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping

TL;DR: This paper proposes fractional-order formation control algorithms with absolute/relative damping and studies the conditions on the network topology and the control gains such that the formation control will be achieved under a directed fixed networkTopology.
Journal ArticleDOI

Bio-inspired self-organising multi-robot pattern formation

TL;DR: A survey of recent research advances in self-organising pattern formation in mobile multi-robot (or swarm robotic) systems with a special focus on biologically-inspired self-Organising approaches inspired from macroscopic collective behaviours or microscopic multicellular developing mechanisms.
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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