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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

The synchronization of instantaneously coupled harmonic oscillators using sampled data with measurement noise

TL;DR: An effective algorithm for synchronization of instantaneously coupled harmonic oscillators by using sampled data which may contain measurement noise is proposed and it is shown that synchronization can be attained even when the velocity information is exchanged only at discrete-time instants.
Journal ArticleDOI

Coordination and Control of Complex Network Systems With Switching Topologies: A Survey

TL;DR: A state-of-the-art survey on coordination and control of CNSs with switching network topologies, with emphasis on relationships between the switchings among different topology candidates and the network controllability.
Journal ArticleDOI

Distributed containment control of second-order multi-agent systems with inherent non-linear dynamics

TL;DR: In this article, two distributed control protocols with static and adaptive control gains are proposed to ensure that the states of the followers asymptotically converge to the convex hull spanned by the corresponding states of leaders.
Journal ArticleDOI

Continuous-Time Coordination Algorithm for Distributed Convex Optimization Over Weight-Unbalanced Directed Networks

TL;DR: A distributed convex optimization problem over a weight-unbalanced directed network is studied in this brief, where the global objective function is equal to the sum of strongly convex objective functions with globally Lipschitz gradients.
Journal ArticleDOI

Finite-time and fixed-time bipartite consensus of multi-agent systems under a unified discontinuous control protocol

TL;DR: A new unified framework of finite-time and fixed-time bipartite consensus is built via some discontinuous control protocols based on the theory of differential inclusion and set-valued Lie derivative to fill the gap in studying FFTBC issues with discontinuous protocols.
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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