Journal ArticleDOI
Distributed algorithms for reaching consensus on general functions
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TLDR
This paper identifies a class of smooth functions for which one can synthesize in a systematic way distributed algorithms that achieve consensus, applies this result to the family of weighted power mean functions, and characterize the exponential convergence properties of the resulting algorithms.About:
This article is published in Automatica.The article was published on 2008-03-01. It has received 465 citations till now. The article focuses on the topics: Distributed algorithm & Consensus.read more
Citations
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Journal ArticleDOI
Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint
TL;DR: In this article, a distributed observer-type consensus protocol based on relative output measurements is proposed to solve the consensus problem of multi-agent systems with a time-invariant communication topology consisting of general linear node dynamics.
Journal ArticleDOI
An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination
TL;DR: In this article, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006 and proposed several promising research directions along with some open problems that are deemed important for further investigations.
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An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination
TL;DR: In this paper, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006, and proposed several promising research directions along with some open problems that are deemed important for further investigations.
Journal ArticleDOI
Consensus Problems on Networks With Antagonistic Interactions
TL;DR: The question asked in this paper is: is it possible to achieve a form of agreement also in presence of antagonistic interactions, modeled as negative weights on the communication graph?
BookDOI
Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms
TL;DR: This self-contained introduction to the distributed control of robotic networks offers a broad set of tools for understanding coordination algorithms, determining their correctness, and assessing their complexity; and it analyzes various cooperative strategies for tasks such as consensus, rendezvous, connectivity maintenance, deployment, and boundary estimation.
References
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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.
Journal ArticleDOI
Consensus and Cooperation in Networked Multi-Agent Systems
TL;DR: A theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures, time-delays, and performance guarantees is provided.
Book
Optimization and nonsmooth analysis
TL;DR: The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.
Journal ArticleDOI
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Ali Jadbabaie,Jie Lin,A.S. Morse +2 more
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.
Book
Differential Equations with Discontinuous Righthand Sides
TL;DR: The kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics, and such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
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Ali Jadbabaie,Jie Lin,A.S. Morse +2 more