Variational Analysis for the Bilateral Minimal Time Function

zbMath1398.49011arXiv1705.03249MaRDI QIDQ4604062

Luong V. Nguyen

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1705.03249

zbMATH Keywords

normal coneFréchet subdifferentialbilateral minimal time functionsingular subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-Lipschitz points and the \(SBV\) regularity of the minimum time function
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Regularity of the state constrained minimal time function
• The state constrained bilateral minimal time function
• Semiconcavity of the bilateral minimal time function: the linear case
• Convexity properties of the minimum time function
• Differentiability properties of the minimum time function for normal linear systems
• The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space
• 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
• Some New Regularity Properties for the Minimal Time Function
• Variational Analysis
• Proximal Analysis and the Minimal Time Function
• Characterization of the State Constrained Minimal Time Function

This page was built for publication: Variational Analysis for the Bilateral Minimal Time Function