Application of viscosity solutions of infinite-dimensional Hamilton- Jacobi-Bellman equations to some problems in distributed optimal control

DOI10.1007/BF00939448zbMath0687.49022MaRDI QIDQ1263079

Emmanuel Nicholas Barron

Publication date: 1990

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

zbMATH Keywords

Bellman equationparabolic equationdistributed controlviscosity solutionsPontryagin maximum principleequationsdifferential-difference equationsinfinite-dimensional Hamilton-Jacobi

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) Hamilton-Jacobi theories (49L99)

Related Items

Minimax and viscosity solutions of Hamilton-Jacobi-Bellman equations for time-delay systems, Numerical solution to optimal feedback control by dynamic programming approach: a local approximation algorithm, Minimax and viscosity solutions in optimization problems for hereditary systems, Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions, Numerical solution to the optimal feedback control of continuous casting process, Viscosity solution of nonanticipating Hamilton-Jacobi equations, Approximation of optimal feedback control: a dynamic programming approach, Dynamic Programming Viscosity Solution Approach and Its Applications to Optimal Control Problems, On viscosity solution of functional Hamilton-Jacobi type equations for hereditary systems, Viscosity Solutions of Hamilton--Jacobi--Bellman--Isaacs Equations for Time-Delay Systems

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