Coordinated collective motion of Groups of autonomous mobile robots: analysis of Vicsek's model

By Andrey V. Savkin. IEEE Transactions on Automatic Control, 2004

302 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/f5b7ace049a6f42bd242fc06bb67ca2c75ec1229

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Computer Networks and Communications

Citations in the corpus

Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms (2009, background): “problems (Savkin, 2004; Kashyap et al., 2007; Carli et al., 2009; Zhu and Mart́ınez, 2008b), consensus on manifolds (Scardovi et al.”
On quantized consensus by means of gossip algorithm - Part II: Convergence time (2009, methodology): “This problem has been investigated through the notion of consensus in several papers, motivated by different applications [5], [6], [7], [8], [ 9 ], [10].”
Algorithms for collision-free navigation of mobile robots in complex cluttered environments: a survey (2014, background): “The study of decentralized control laws for groups of mobile autonomous robots has emerged as a challenging new research area in recent years (see, e.g., [234, 290], and references therein).”
Leader-following consensus of multi-agent systems under fixed and switching topologies (2010, unknown): “Vicsek [7]; Savkin [8] gave another qualitative analysis for the Vicsek model.”
Quantized Consensus (2006, methodology): “…and Scherson, 1994), clock synchronization (Giridhar and Kumar, 2006; Akar and Shorten, 2006), and multi-agent coordination and flocking (Tsitsiklis, 1984; Bertsekas and Tsitsiklis, 1997; Blondel et al., 2005; Jadbabaie et al., 2003; Savkin, 2004; Olfati-Saber and Murray, 2004; Moreau, 2005).”
Tracking control for multi-agent consensus with an active leader and variable topology (2006, background): “These neighbor rules for each agent are based on the average of its own information and that of its neighbors or its leader (Fax & Murray, 2004; Jadbabaie, Lin, & Morse, 2003; Lin, Broucke, & Francis, 2004; Olfati-Saber & Murray, 2004; Savkin, 2004).”
On quantized consensus by means of gossip algorithm - Part I: Convergence proof (2009, background): “In multi-agent coordination and flocking, there are a number of applications in which the state-agreement problem appears [9], [10].”
Consensus in Directed Networks of Agents With Nonlinear Dynamics (2011, background): “Here, may be an isolated equilibrium point [5], [7], [8], [ 28 ], a periodic orbit, or even a chaotic orbit [19].”
Distributed Control of Robotic Networks (2009, background): “Some relevant references on Markov chains include Seneta (1981) and Lovász (1993).”
A survey of consensus problems in multi-agent coordination (2005, result): “This result is further discussed in [21] and [ 22 ].”
Mean-field and graph limits for collective dynamics models with time-varying weights (2020, background): “Indeed, they can be applied in many different areas: biology with the study of collective flocks and swarms [23, 25, 30, 32], aviation [31], and social dynamics [15] (among many others).”
Flocking of multi-agent systems with a dynamic virtual leader (2009, background): “…Lin and Morse 2003; Tanner, Jadbabaie and Pappas 2003, 2007; Fax and Murray 2004; Lin, Broucke and Francis 2004; Olfati-Saber and Murray 2004; Savkin 2004; Shi, Wang, Chu and Xu 2005; Chu, Wang, Chen and Mu 2006; Hong, Hu and Gao 2006; Olfati-Saber 2006; Shi, Wang and Chu 2006a, Shi, Wang,…”
New conditions for synchronization in dynamical communication networks (2011, methodology): “A linearized version of (2) studied in [2,3,11,18] is in the form”
A General Alignment Repulsion Algorithm for Flocking of Multi-Agent Systems (2011, methodology): “, [4], [11], [12], [16]–[18], with different settings.”