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Properties of the Bellman function in time-optimal control problems

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Publication:1367792
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DOI10.1023/A:1022615921015zbMath0909.49012MaRDI QIDQ1367792

Bernhard Rupp

Publication date: 27 May 1998

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


zbMATH Keywords

regularitytime-optimal controloptimal value functionBellman functionscontinuity properties


Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20)


Related Items (1)

Lipschitz continuous dynamic programming with discount



Cites Work

  • Unnamed Item
  • Construction of optimal feedback controls
  • Optimal control theory
  • Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
  • On the Bellman function for the time-optimal process problem
  • An Approximation Scheme for the Minimum Time Function
  • Hamilton-Jacobi Equations With Singular Boundary Conditions on a free Boundary and Applications to Differential Games
  • Optimization and nonsmooth analysis
  • A General Theorem on Local Controllability
  • Pursuit–Evasion Problems and Viscosity Solutions of Isaacs Equations
  • Optimal Feedback Controls


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