The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space

Authors:
Giovanni Colombo;Peter R. Wolenski
Affiliations:
Dipartimento di Matematica Pura e Applicata, Università/ di Padova, via Belzoni 7, 35131 Padova, Italy/ (e-mail: colombo@math.unipd.it);Department of Mathematics, Louisiana State University, 326 Lockett Hall, Baton Rouge, Louisiana 70803-4918, USA/ (e-mail: wolenski@math.lsu.edu)
Venue:
Journal of Global Optimization
Year:
2004

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Abstract

The minimal time function with constant dynamics is studied in the context of a Hilbert space. A general formula for the subgradient is proven, and assumptions are identified in which the minimal time function is lower C2.