Journal ArticleDOI
Consensus seeking in multiagent systems under dynamically changing interaction topologies
Wei Ren,Randal W. Beard +1 more
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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.read more
Citations
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Journal ArticleDOI
Non-linear protocols for optimal distributed consensus in networks of dynamic agents
TL;DR: It is proved that such objectives can be chosen so that rational agents have a unique optimal protocol, and asymptotical consensus can be reached when the communication links between nearby agents define a time-invariant undirected network.
Journal ArticleDOI
Brief paper: Synchronizing linear systems via partial-state coupling
TL;DR: It is shown that a linear output feedback law exists under which the coupled systems globally asymptotically synchronize for all fixed connected (asymmetrical) network topologies.
Journal ArticleDOI
On global leader-following consensus of identical linear dynamic systems subject to actuator saturation
TL;DR: This paper studies the leader-following consensus problem for a group of agents with identical linear systems subject to control input saturation, focusing on two classes of linear systems, neutrally stable systems and double integrator systems, and establishes that global consensus can be achieved by linear local feedback laws over a fixed communication topology.
Journal ArticleDOI
Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs
TL;DR: This paper studies the distributed consensus tracking problem of linear higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs and appropriately constructing a switching Lyapunov function and using tools from the M -matrix theory.
Journal ArticleDOI
Synchronization and convergence of linear dynamics in random directed networks
TL;DR: Rather than using Lyapunov type methods, results from the theory of inhomogeneous Markov chains are used in the authors' analysis and it is shown that they are useful for deterministic consensus problems and more general random graph processes.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
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.
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Algebraic Graph Theory
Chris Godsil,Gordon F. Royle +1 more
TL;DR: The Laplacian of a Graph and Cuts and Flows are compared to the Rank Polynomial.
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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.
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