Bounded-from-below solutions of the Hamilton-Jacobi equation for optimal control problems with exit times: Vanishing lagrangians, eikonal equations, and shape-from-shading

DOI10.1007/S00030-003-1051-8zbMath1059.35028arXivmath/0311269OpenAlexW3098831681MaRDI QIDQ1879272

Publication date: 22 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0311269

zbMATH Keywords

integral condition Fuller Problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear first-order PDEs (35F20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Geometric optics (78A05)

Related Items (7)

The geometry of the solution set of nonlinear optimal control problems ⋮ HJ inequalities involving Lie brackets and feedback stabilizability with cost regulation ⋮ An eikonal equation with vanishing Lagrangian arising in global optimization ⋮ Stabilizability in optimal control ⋮ The value function of an asymptotic exit-time optimal control problem ⋮ Further results on the bellman equation for optimal control problems with exit times and nonnegative lagrangians ⋮ A viscosity solution method for Shape-From-Shading without image boundary data

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