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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

Multi-agent discrete-time graphical games and reinforcement learning solutions

TL;DR: A novel reinforcement learning value iteration algorithm is given to solve the dynamic graphical games in an online manner along with its proof of convergence, and it is proved that this notion holds if all agents are in Nash equilibrium and the graph is strongly connected.
Journal ArticleDOI

Consensus of second-order multi-agent systems with delayed nonlinear dynamics and intermittent communications

TL;DR: By constructing a common Lyapunov function, it is shown that consensus can be reached if the general algebraic connectivity and communication time duration are larger than their corresponding threshold values, respectively.
Journal ArticleDOI

Optimal consensus algorithms for cooperative team of agents subject to partial information

TL;DR: It is shown that minimization of the proposed cost functions results in a modified consensus algorithm for LL and MLF architectures, and the performance of the cooperative team under a member's fault is formally analyzed and investigated.
Journal ArticleDOI

Stationary consensus of heterogeneous multi-agent systems with bounded communication delays

TL;DR: It is shown that the asymptotic consensus achievement of the dynamic agents is independent of the communication delay, but strictly depends on the connectedness of the interconnection topology.
Journal ArticleDOI

Consensus based overlapping decentralized estimation with missing observations and communication faults

TL;DR: A new algorithm for discrete-time overlapping decentralized state estimation of large scale systems is proposed in the form of a multi-agent network based on a combination of local estimators of Kalman filtering type and a dynamic consensus strategy, assuming intermittent observations and communication faults.
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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