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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

Consensus of Switched Multiagent Systems

TL;DR: It is proved that the consensus of switched multiagent system is solvable under arbitrary switching with undirected connected graph, directed graph, and switching topologies, respectively, using the graph theory and the Lyapunov theory.
Journal ArticleDOI

Consensus of discrete-time multi-agent systems with transmission nonlinearity

TL;DR: This paper obtains several basic criteria for the consensus of a discrete-time MAS with transmission nonlinearity and time-varying delays based on a representative general nonlinear model.
Journal ArticleDOI

Stochastic consensus over noisy networks with Markovian and arbitrary switches

TL;DR: A measurement model with a random link gain, additive noise, and Markovian lossy signal reception, which captures uncertain operational conditions of practical networks is proposed and a common stochastic Lyapunov function technique is used to prove convergence.
Journal ArticleDOI

Regularized Primal–Dual Subgradient Method for Distributed Constrained Optimization

TL;DR: This paper proposes a consensus-based distributed regularized primal-dual subgradient method for distributed constrained optimization, where the objective function is the sum of local convex cost functions of distributed nodes in a network, subject to a global inequality constraint.
Journal ArticleDOI

Containment control of linear multi-agent systems with multiple leaders of bounded inputs using distributed continuous controllers

TL;DR: This paper considers the containment control problem for multi-agent systems with general linear dynamics and multiple leaders whose control inputs are possibly nonzero and time varying and proposes a distributed adaptive continuous controller, which can be designed and implemented by each follower in a fully distributed fashion.
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.
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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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