Document Type
Article
Publication Date
1-1-2006
Abstract
A minimal time problem with linear dynamics and convex target is considered. It is shown, essentially, that the epigraph of the minimal time function T(middot;) is φ-convex (i.e., it satisfies a kind of exterior sphere condition with locally uniform radius), provided T(·) is continuous. Several regularity properties are derived from results in [G. Colombo and A. Marigonda, Gale. Var. Partial Differential Equations, 25 (2005), pp. 1-31], including twice a.e. differentiability of T(·) and local estimates on the total variation of DT. © 2006 Society for Industrial and Applied Mathematics.
Publication Source (Journal or Book title)
SIAM Journal on Control and Optimization
First Page
2285
Last Page
2299
Recommended Citation
Colombo, G., Marigonda, A., & Wolenski, P. (2006). Some new regularity properties for the minimal time function. SIAM Journal on Control and Optimization, 44 (6), 2285-2299. https://doi.org/10.1137/050630076