Variational Analysis and Regularity of the Minimum Time Function for Differential Inclusions

DOI10.1137/15M1010415zbMath1347.49029arXiv1502.04846OpenAlexW2962898502MaRDI QIDQ2820183

Luong V. Nguyen

Publication date: 14 September 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04846

zbMATH Keywords

differential inclusionsvariational analysisminimum time functionreachable sets\(\varphi\)-convexitymaximized Hamiltoniannormal vectors

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60) Ordinary differential inclusions (34A60) Linear optimal control problems (49N05) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (4)

Kinodynamic Control Systems and Discontinuities in Clearance ⋮ Variational Analysis for the Bilateral Minimal Time Function ⋮ Unnamed Item ⋮ The minimal time function associated with a collection of sets

Cites Work

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• Interior sphere property of attainable sets and time optimal control problems
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• Second-Order Sensitivity Relations and Regularity of the Value Function for Mayer's Problem in Optimal Control
• Conjugate Times and Regularity of the Minimum Time Function with Differential Inclusions
• Optimization and nonsmooth analysis
• Proximal Analysis and the Minimal Time Function
• State Constraints in Convex Control Problems of Bolza

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