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

Martino Bardi; Shigeaki Koike; Pierpaolo Soravia

doi:10.3934/dcds.2000.6.361

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

Martino Bardi, Shigeaki Koike, Pierpaolo Soravia

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	361-380
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems
Volume	6
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2000.6.361
Publication status	Published - 2000 Apr
Externally published	Yes

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "Pursuit-evasion games with state constraints: Dynamic programming and discrete-time approximations",

abstract = "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.",

author = "Martino Bardi and Shigeaki Koike and Pierpaolo Soravia",

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AB - 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.

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

Abstract

ASJC Scopus subject areas

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