Dynamic programming for some optimal control problems with hysteresis

DOI10.1007/S00030-002-8122-0zbMath1009.47071OpenAlexW2058127280MaRDI QIDQ1601717

Fabio Bagagiolo

Publication date: 27 June 2002

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-002-8122-0

zbMATH Keywords

optimal controldynamic programmingHamilton-Jacobi equationviscosity solutionhysteresis operatorPlay operatorPrandtl-Ishlinskij operatorviscosity Neumann type boundary value problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Equations with nonlinear hysteresis operators (47J40)

Related Items (4)

About an optimal visiting problem ⋮ Analysis of Optimal Control Problems for Hybrid Systems with One State Variable ⋮ Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

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