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<p>This paper is devoted to studying the dynamic optimization of several controlled crowd motion models in general planar settings. A set of necessary optimality conditions for optimal control problems involving crowd motion models with multiple agents and obstacles was derived and thoroughly analyzed. The analysis provides valuable insights into the primal and dual elements, as well as the degeneracy phenomena. The paper proposes several effective algorithms based on these necessary optimality conditions and presents various nontrivial illustrative examples along with their simulations. The implementation of all the considered motion models can be found via the link: <a href="https://github.com/tancao1128/Optimal_Control_of_Several_Motion_Models">https://github.com/tancao1128/Optimal_Control_of_Several_Motion_Models</a>.</p>

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Optimal Control of Several Motion Models

  • 期刊论文

  • 发表日期：

    2025年2月11日

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  • Tan H. Cao,
  • Nilson Chapagain,
  • Haejoon Lee,
  • Thi Phung,
  • Nguyen Nang Thieu

摘要

This paper is devoted to studying the dynamic optimization of several controlled crowd motion models in general planar settings. A set of necessary optimality conditions for optimal control problems involving crowd motion models with multiple agents and obstacles was derived and thoroughly analyzed. The analysis provides valuable insights into the primal and dual elements, as well as the degeneracy phenomena. The paper proposes several effective algorithms based on these necessary optimality conditions and presents various nontrivial illustrative examples along with their simulations. The implementation of all the considered motion models can be found via the link: https://github.com/tancao1128/Optimal_Control_of_Several_Motion_Models.