A note on optimality conditions for optimal exit time problems

DOI10.3934/mcrf.2015.5.291zbMath1326.49029OpenAlexW2324578627MaRDI QIDQ888791

Luong V. Nguyen

Publication date: 2 November 2015

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2015.5.291

zbMATH Keywords

maximum principleoptimality conditionsvalue functionssemiconcave functionsoptimal exit time problems

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (2)

Optimality Conditions (in Pontryagin Form) ⋮ Differentiability properties of the minimum time function for normal linear systems

Cites Work

• Unnamed Item
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Optimality conditions and regularity results for time optimal control problems with differential inclusions
• On a class of nonlinear time optimal control problems
• Rectifiability results for singular and conjugate points of optimal exit time problems
• Semiconcavity for optimal control problems with exit time
• Convexity properties of the minimum time function
• Local regularity of the minimum time function
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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