Necessary and sufficient graphical conditions for formation control of unicycles

By Zhiyun Lin, Bruce A. Francis, Manfredi Maggiore. 2005

1,084 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computer Networks and Communications

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Citations in the corpus

An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, background): “Several milest one results prior to 2006 can be found in [ 2], [5]–[7], [9]–[11], [26].”
Coordination in multiagent systems and Laplacian spectra of digraphs (2009, background): “Later on, the first statement of Corollary 1 was obtained in [12–16].”
Asynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays (2006, background): “In addition, it is necessary to emphasize that flocking of agents and swarms[23,24,25,26] and formation control of vehicles[27,28,29] are two active areas where many useful results obtained in consensus problems have been successfully applied.”
A tutorial on modeling and analysis of dynamic social networks. Part I (2017, background): “The equivalence of statements 2 and 3 was in fact proved in [34] and rediscovered in recent papers [66, 67].”
Synchronized Output Regulation of Linear Networked Systems (2009, background): “The sufficient and necessary condition of information consensus of linear integral multi-agent systems has been independently developed in [4] and [5], i.”
Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint (2016, background): “Lemma 2: Zero is a simple eigenvalue of if and only if graph has a directed spanning tree [18], [29].”
Consentability and protocol design of multi-agent systems with stochastic switching topology (2009, background): “(Lin et al., 2005) i) The graph G has a globally reachable node, if and only if 0 is a simple eigenvalue of its Laplacian matrix L.”
Finite-Time Consensus for Multi-Agent Networks with Second-Order Agent Dynamics (2008, background): “…concerned with the coordination of a group of mobile autonomous agents, partly due to a broad application of multi-agent systems including flocking and formation (e.g., Egerstedt et al. (2001); Reynolds (1987); Lin et al. (2005); Tanner et al. (2003); Olfati-Saber (2006); Hong et al. (2006a)).”
Necessary and Sufficient Conditions for Consensus of Delayed Fractional‐order Systems (2012, background): “This is partly due to their potential applications in many areas, including cooperative control of unmanned air vehicles [1], formation control of multiple robots [2, 3], and design of distributed sensor networks [4, 5].”
Opinion Dynamics in Social Networks With Hostile Camps: Consensus vs. Polarization (2015, background): “erative networks, the uniform strong connectivity cannot be relaxed to the uniform quasi-strong connectivity, which is a commonly adopted condition for consensus over directed timevarying graph [11], [41].”
Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms (2009, neutral): “27 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 5”
Cooperative Control of Dynamical Systems With Application to Autonomous Vehicles (2009, background): “1 and the following corollary extend the result in [22] to dynamical systems of high-relative degree as well as the results of [23] and [24] to formation control of nonholonomic systems in a high-order chained form (see Example V.”