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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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Journal ArticleDOI

A tutorial on modeling and analysis of dynamic social networks. Part I

TL;DR: The aim of this tutorial is to highlight a novel chapter of control theory, dealing with applications to social systems, to the attention of the broad research community.
Journal ArticleDOI

Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays

TL;DR: A new approach based on a tree-type transformation to investigate consensus problems in all three cases of finite-time consensus in directed networks with dynamically changing topologies and nonuniform time-varying delays is proposed.
Journal ArticleDOI

Consensus in Directed Networks of Agents With Nonlinear Dynamics

TL;DR: This technical note studies the consensus problem for cooperative agents with nonlinear dynamics in a directed network through a combination of the tools of complex analysis, local consensus manifold approach, and Lyapunov methods.
Journal ArticleDOI

Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking

TL;DR: It is shown that formation tracking can be achieved for systems with both single-Integrator kinematics and double-integrator dynamics in finite time and can be easily decoupled into two subtasks, that is, decentralized sliding mode estimation and vehicle desired state tracking.
Journal ArticleDOI

Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems

TL;DR: This paper establishes a stability result for a class of linear switched systems involving Kronecker product and gives the solvability conditions for both the leaderless consensus problem and the leader-following consensus problem for general marginally stable linear multi-agent systems under switching network topology.
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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