Pursuit-evasion games with state constraints: Dynamic programming and discrete-time approximations

Martino Bardi, Shigeaki Koike, Pierpaolo Soravia

研究成果: Article

19 引用 (Scopus)

抜粋

In this paper we study the boundary value problem for the Hamilton-Jacobi-Isaacs equation of pursuit-evasion differential games with state constraints. We prove existence of a continuous viscosity solution and a comparison theorem that we apply to establish uniqueness of such a solution and its uniform approximation by solutions of discretized equations.

元の言語English
ページ(範囲)361-380
ページ数20
ジャーナルDiscrete and Continuous Dynamical Systems
6
発行部数2
出版物ステータスPublished - 2000 4 1
外部発表Yes

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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