Uniqueness of solutions to the Hamilton-Jacobi equation: A system theoretic proof

DOI10.1016/0167-6911(94)90057-4zbMath0874.49024OpenAlexW2085909365MaRDI QIDQ1324507

Richard B. Vinter

Publication date: 11 November 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(94)90057-4

zbMATH Keywords

nonsmooth analysisdynamic programmingHamilton-Jacobi equationdeterministic optimal control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20)

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Cites Work

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• Asymptotic behavior of some nonlinear heat equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• Hamilton–Jacobi Theory for Optimal Control Problems with Data Measurable in Time
• Viability theory