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

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica Pura e Applicata, Università di Padova, via Belzoni 735131, Padova, Italy; (e-mail

    Giovanni Colombo

  2. Department of Mathematics, Louisiana State University, 326 Lockett Hall, Baton Rouge, Louisiana, 70803-4918, USA; (e-mail

    Peter R. Wolenski

Authors
  1. Giovanni Colombo
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  2. Peter R. Wolenski
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Colombo, G., Wolenski, P.R. The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space. Journal of Global Optimization 28, 269–282 (2004). https://doi.org/10.1023/B:JOGO.0000026460.10505.dd

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