scientific article; zbMATH DE number 7297358

zbMath1475.49044MaRDI QIDQ5144474

Samara Chamoun, Chadi Nour

Publication date: 18 January 2021

Full work available at URL: http://www.heldermann.de/JCA/JCA28/JCA281/jca28001.htm#jca281

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zbMATH Keywords

nonsmooth analysisnonlinear control systemproximal analysisbilateral minimal time function\(\varphi_0\)-convexity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Regularity of solutions in optimal control (49N60) Ordinary differential inclusions (34A60)

Cites Work

• Semiconcavity of the value function for a class of differential inclusions
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Differentiability properties for a class of non-convex functions
• Optimality conditions and regularity results for time optimal control problems with differential inclusions
• The \(\theta \)-exterior sphere condition, \(\varphi \)-convexity, and local semiconcavity
• Hypographs satisfying an external sphere condition and the regularity of the minimum time function
• Optimality conditions and synthesis for the minimum time problem
• Semiconcavity of the value function for exit time problems with nonsmooth target
• Convexity properties of the minimum time function
• The dual arc inclusion with differential inclusions
• Variational Analysis and Regularity of the Minimum Time Function for Differential Inclusions
• On the Structure of the Minimum Time Function
• Exterior Sphere Condition and Time Optimal Control for Differential Inclusions
• Curvature Measures
• Interior sphere property of attainable sets and time optimal control problems
• Some New Regularity Properties for the Minimal Time Function
• Conjugate Times and Regularity of the Minimum Time Function with Differential Inclusions
• Optimization and nonsmooth analysis
• Variational Analysis
• Proximal Analysis and the Minimal Time Function
• Local differentiability of distance functions
• Variational Analysis for the Bilateral Minimal Time Function
• Prox-regular functions in variational analysis
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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