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SOME NEW REGULARITY PROPERTIES FOR THE MINIMAL TIME FUNCTION.
- Source :
- SIAM Journal on Control & Optimization; 2006, Vol. 44 Issue 6, p2285-2299, 15p
- Publication Year :
- 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(·) 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, Calc. 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 44
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 21848828
- Full Text :
- https://doi.org/10.1137/050630076