Asymptotic behavior and control of a “guidance by repulsion” model

DOI10.1142/S0218202520400047zbMath1451.93306arXiv1911.01133OpenAlexW3005355977WikidataQ114072934 ScholiaQ114072934MaRDI QIDQ5128706

Dongnam Ko, Enrique Zuazua

Publication date: 23 October 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01133

zbMATH Keywords

optimal controlasymptotic stabilitycollective behaviorguidance by repulsionguiding problem

Mathematics Subject Classification ID

Feedback control (93B52) Asymptotic stability in control theory (93D20) Pursuit and evasion games (49N75)

Related Items (7)

Iterative shepherding control for agents with heterogeneous responsivity ⋮ Pursuit-evasion games of multiple cooperative pursuers and an evader: a biological-inspired perspective ⋮ Controlling Swarms toward Flocks and Mills ⋮ Active particles methods and challenges in behavioral systems ⋮ Collective dynamics in science and society ⋮ Model predictive control with random batch methods for a guiding problem ⋮ Towards a mathematical theory of behavioral swarms

Uses Software

• Boids

Cites Work

• From a systems theory of sociology to modeling the onset and evolution of criminality
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• ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES
• Partial differential equation models in the socio-economic sciences
• Hypocoercivity
• Avoiding Collisions in Flocks

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