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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-Based Energy Management in Smart Grid With Transmission Losses and Directed Communication

TL;DR: A consensus-based algorithm is designed to solve the problem of distributed energy management for both generation and demand side in smart grid by taking transmission losses into account and it is proved the convergence and optimality of the proposed algorithm is achieved.
Journal ArticleDOI

Multi-agent team cooperation: A game theory approach

TL;DR: The main goal of this work is to design a team of agents that can accomplish consensus over a common value for the agents' output using cooperative game theory approach using a semi-decentralized optimal control strategy that is based on minimization of individual cost using local information.
Journal ArticleDOI

Distributed finite-time tracking of multiple non-identical second-order nonlinear systems with settling time estimation

TL;DR: By computing the value of the Lyapunov function at the initial point, the finite settling time can be theoretically estimated for second-order multi-agent systems with the proposed control protocols.
Journal ArticleDOI

Bipartite Tracking Consensus of Linear Multi-Agent Systems With a Dynamic Leader

TL;DR: It is shown that bipartite tracking consensus in the close-loop MAS can be achieved if the gain matrix of protocol is suitably constructed and the control parameters of protocol are, respectively, larger than some positive quantities depending on global information of the considered MAS.
Journal ArticleDOI

Finite-Time Formation Control of Under-Actuated Ships Using Nonlinear Sliding Mode Control

TL;DR: A novel nonlinear sliding mode control approach dealing with the formation control of under-actuated ships is presented and a distributed controller is designed for individual under-Actuated ship to achieve the given formation pattern within a finite time.
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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