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    Subdifferential properties of the minimal time function of linear control systems

    Access Status
    Fulltext not available
    Authors
    Jiang, Y.
    He, Y.
    Sun, Jie
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Jiang, Y. and He, Y. and Sun, J. 2011. Subdifferential properties of the minimal time function of linear control systems. Journal of Global Optimization. 51: pp. 395-412.
    Source Title
    Journal of Global Optimization
    DOI
    10.1007/s10898-010-9633-6
    ISSN
    09255001
    URI
    http://hdl.handle.net/20.500.11937/40464
    Collection
    • Curtin Research Publications
    Abstract

    We present several formulae for the proximal and Fréchet subdifferentials of the minimal time function defined by a linear control system and a target set. At every point inside the target set, the proximal/Fréchet subdifferential is the intersection of the proximal/Fréchet normal cone of the target set and an upper level set of a so-called Hamiltonian function which depends only on the linear control system. At every point outside the target set, under a mild assumption, proximal/Fréchet subdifferential is the intersection of the proximal/ Fréchet normal cone of an enlargement of the target set and a level set of the Hamiltonian function.

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