Contingent solutions for the Bellmann equation in infinite dimensions

DOI10.1023/A:1004605800920zbMath1021.49022MaRDI QIDQ1584021

Ovidiu Cârjǎ

Publication date: 5 February 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal controlHamilton-Jacobi-Bellman equationviabilityinfinite dimensional systemminimum time problemhypographcontingent solution

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Boundary value problems for nonlinear first-order PDEs (35F30) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

Path-dependent Hamilton-Jacobi equations in infinite dimensions ⋮ Lyapunov pairs for multi-valued semi-linear evolutions ⋮ Viability for nonautonomous semilinear differential equations

Cites Work

• The time-optimal control problem in Banach spaces
• A general principle on ordered sets in nonlinear functional analysis
• The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
• Some new viability results for semilinear differential inclusions
• Lower semicontinuous solutions of the Bellman equation for the minimum time problem
• The Minimal Time Function in Infinite Dimensions
• The Dynamic Programming Equation for the Time-Optimal Control Problem in Infinite Dimensions
• Invariant sets for a class of semi-linear equations of evolution
• A Boundary Value Problem for the Minimum-Time Function
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