Stabilization of Planar Collective Motion: All-to-All Communication

By Rodolphe Sepulchre, Derek A. Paley, Naomi Ehrich Leonard. 2007

528 citations recorded by the source corpus.

Subfields: Cognitive Neuroscience, Computer Networks and Communications

How researchers see this paper

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

In Cognitive Neuroscience

In Computer Networks and Communications

Citations in the corpus

An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, background): “Noticeably, the offset ted state in [174]–[177] is properly designed, yet the offsetted state in [178], [179] is induced by the special nonlinear system dynamics.”
Synchronization in complex networks of phase oscillators: A survey (2014, methodology): “…2012), locking in solid-state circuit oscillators (Abidi and Chua, 1979; Mirzaei et al., 2007), planar vehicle coordination (Paley et al., 2007; Sepulchre et al., 2007, 2008; Klein, 2008; Klein et al., 2008), carrier synchronization without phase-locked loops (Rahman et al., 2011),…”
Formation tracking and attitude synchronization control of underactuated ships along closed orbits (2015, background): “Compared with the simple fully actuated particle [18, 20, 21, 23] and the nonholonomic vehicle [19, 22, 24], the underactuated ship is more difficult to control.”
Coordinated patterns of unit speed particles on a closed curve (2007, background): “Certain patterns for a system of particles with unit speed can be 57 classified.”
On the Critical Coupling for Kuramoto Oscillators (2010, unknown): “In view of the diﬀerent biological and technological applications of the Kuramoto model [43, 51, 20, 47, 18, 7, 23, 11], similar tight and explicit bounds have to be derived for synchronization (as well as splay state stabilization) with arbitrary coupling topologies, phase and time delays,…”
Distributed Control of Robotic Networks (2009, background): “Regarding distributed motion coordination algorithms, much progress has been made on collective pattern formation (Suzuki and Yamashita, 1999; Belta and Kumar, 2004; Justh and Krishnaprasad, 2004; Sepulchre et al., 2007; Paley et al., 2007; Yang et al., 2008), flocking (Olfati-Saber, 2006; Lee and S”
Oscillator Models and Collective Motion (2007, methodology): “Using this procedure, the collective tracks a piecewise-linear reference trajectory shown in Figure 5 [25].”
Sparse stabilization and optimal control of the Cucker-Smale model (2013, background): “[51, 53], the conceptually closest work to our approach is perhaps the seminal paper [40], where externally driven “virtual leaders” are inserted in a collective motion dynamics in order to enforce a certain behavior.”
A Differential Lyapunov Framework for Contraction Analysis (2012, background): “lowing [42], is a measure of synchrony of the phase variables, since is 1 when all phases coincide, while is 0 when the phases are balanced.”
Coordinated control of an underwater glider fleet in an adaptive ocean sampling field experiment in Monterey Bay (2010, methodology): “The coordinating feedback laws for the individual vehicles derive systematically from a control methodology (Sepulchre et al., 2007; Sepulchre et al., 2008) that provides provable convergence to the desired pattern.”
Stabilization of Planar Collective Motion With Limited Communication (2008, methodology): “In recent work [11], we proposed a versatile design methodology that specifies collectives as minima of artificial potentials.”
Autonomous rigid body attitude synchronization (2007, unknown): “Beyond the circle ([9], [10], [11], [32]), the most important example is perhaps the group SO(3), representing the orientations of 3-dimensional rigid bodies ([3], [6], [7], [33], [34], [35]).”
Stabilization of collective motion on a sphere (2009, methodology): “Lyapunov design of gyroscopic control laws that stabilize relative equilibria in a planar particle model with all-to-all communication appears in Sepulchre et al. (2007).”
Backstepping control design for motion coordination of self‐propelled vehicles in a flowfield (2011, methodology): “For instance, the control laws used to drive the particle models presented in [8] are referred to as shape control laws because the variables that appear in the controllers may be expressed in terms of relative positions and relative orientations between pairs of particles [13].”
A Novel Robust Decentralized Adaptive Fuzzy Control for Swarm Formation of Multiagent Systems (2012, background): “, [1], [2], [4], [8], and [9]), limited dynamic or kinematic models as massless agents, unicycles, bicycles, or four-wheeled robots are considered.”
On the Characterization of Local Nash Equilibria in Continuous Games (2014, background): “applications for strategy spaces or player costs to be non-convex, for example when an agent’s configuration space is a constrained set or a differentiable manifold [13]–[19].”
Distributed connectivity control of mobile networks (2007, background): “Motivated by the significance of connectivity in many applications involving multi-agent systems and mobile sensor networks [9], [10], [11], [12], [13], [14], in this paper, we consider graph connectivity as our primary objective.”