Exterior Sphere Condition and Time Optimal Control for Differential Inclusions

DOI10.1137/110825078zbMath1251.49049arXiv1110.1387OpenAlexW2141232462MaRDI QIDQ3224975

Khai T. Nguyen, Piermarco Cannarsa

Publication date: 13 March 2012

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

Full work available at URL: https://arxiv.org/abs/1110.1387

zbMATH Keywords

differential inclusionstime optimal controlsemiconcave functionsexterior sphere conditionproximal normal vectors

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60) Ordinary differential inclusions (34A60) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Non-Lipschitz points and the \(SBV\) regularity of the minimum time function ⋮ On duality in second-order discrete and differential inclusions with delay ⋮ BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions ⋮ Variational Analysis for the Bilateral Minimal Time Function ⋮ Variational Analysis and Regularity of the Minimum Time Function for Differential Inclusions ⋮ Unnamed Item ⋮ Differentiability properties of the minimum time function for normal linear systems

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