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Justification of the geometric solution of a target defense game with faster defenders and a convex target area using the HJI equation

  • Published:2023-03 Issue: Volume:149 Page:110811
  • ISSN:0005-1098
  • Container-title:Automatica
  • language:en
  • Short-container-title:Automatica

Author:

Fu Han,Liu Hugh H.-T.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Control and Systems Engineering

Reference49 articles.

1. Point capture of two evaders in succession;Breakwell;Journal of Optimization Theory and Applications,1979

2. Solution of a Pursuit–Evasion game using a near-optimal strategy;Carr;Journal of Guidance, Control, and Dynamics,2018

3. Viscosity solutions of Hamilton-Jacobi equations;Crandall;Transactions of the American Mathematical Society,1983

4. Optimal adaptive control and differential games by reinforcement learning principles;Dixon,2014

5. One apollonius circle is enough for many pursuit-evasion games;Dorothy,2021

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