Singular characteristics of first order PDEs in optimal control and differential games

DOI10.1023/A:1009554618300zbMath1070.49019MaRDI QIDQ5948399

A. A. Melikyan

Publication date: 2001

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

optimal controlHamilton-Jacobi equationdifferential gamemethod of characteristicssingular characteristicsingular control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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Saddle-point equilibrium sequence in one class of singular infinite horizon zero-sum linear-quadratic differential games with state delays ⋮ Singular infinite horizon zero-sum linear-quadratic differential game: saddle-point equilibrium sequence

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