Extension of the Cucker-Smale Control Law to Space Flight Formations

By L. Perea, Pedro Elosegui, Gerard Gómez. 2009

262 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Astronomy and Astrophysics, Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/f7b22c6282724cbde2d86f472b83a37388ccccdb

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In Aerospace Engineering

In Astronomy and Astrophysics

In Computer Networks and Communications

Citations in the corpus

The derivation of swarming models: Mean-field limit and Wasserstein distances (2013, background): “There, the aim is to produce a suitable control of the movement of small squads of robots in order to perform unmanned vehicle operations, for instance [72].”
Mean-field optimal control as Gamma-limit of finite agent controls (2018, background): “In the last years there has been a vigorous development of literature describing collective behaviour of interacting agents [29–31, 40–42, 60], towards modeling phenomena in biology, such as motility and cell aggregation [15,43,44,53], coordinated animal motion [7,20,23,25–27,31,49–51,55,59,63], coo”
Avoiding Collisions in Flocks (2010, methodology): “[ 17 ] L. Guo, “A note on continuous-time ELS,” Syst.”
A well-posedness theory in measures for some kinetic models of collective motion (2009, methodology): “Moreover, the understanding of natural swarms has been used as an engineering design principle for unmanned artificial robots operation [5, 30].”
A General Collision-Avoiding Flocking Framework (2011, background): “It was also proposed as a control mechanism to ensure cohesion in the Darwin space mission [ 15 ].”
Sparse stabilization and optimal control of the Cucker-Smale model (2013, background): “Beside applications where biological agents, animals and micro-(multi)cellular organisms, or humans are involved, also more abstract modeling of interacting automatic units, for instance simple robots, are of high practical interest [11, 34, 59, 40, 47, 56].”
Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings (2010, background): “INTRODUCTION Collective self-organized phenomena such as flocking and synchronization appear in biological, mechanical and social groups of autonomous agents and have received lots of attention in recent years due to their engineering applications like a sensor network, formation control of robot an”
Particle, kinetic, and hydrodynamic models of swarming (2010, methodology): “We will elaborate starting from these basic bricks to conclude with continuum models capable of simulating the collective behavior of systems with a large number of agents N . Control of large agent systems are important not only for the somehow bucolic example of the animal behavior but also for pu”
Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership (2017, unknown): “ecology, biology, social sciences, economics, robotics (see [2, 3, 7, 8, 13, 15, 30, 38, 41, 42, 47, 48]).”
On collision-avoiding initial configurations to Cucker-Smale type flocking models (2012, background): “Recently several mathematical models for such self-organized phenomena have received lots of attention due to their engineering applications such as sensor networks, and formation control of robot and unmanned aerial vehicles [26, 28, 30].”
Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model (2010, background): “Despite the theoretical and fundamental nature of this result, surprising and remarkable applications of the Cucker-Smale principle have recently been found in spacecraft flight control [28] in the context of the ESA-mission DARWIN.”
Emergent dynamics of the Cucker-Smale flocking model and its variants (2016, background): “[6, 64], and they have been extensively studied recently because of their possible applications to sensor networks, controls of robots and unmanned aerial vehicles [49, 55, 57], and opinion formation of social networks.”
Mean Field Analysis of Controlled Cucker-Smale Type Flocking: Linear Analysis and Perturbation Equations (2011, background): “…in nature is of interest not only to model, analyze and interpret these widespread phenomena, but also because ideas from these behaviours can be used by engineers to develop efficient algorithms for a wide range of applications (see (Perea et al., 2009; Lin et al., 2004), among many other papers).”