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    Proximal Analysis and the Minimal Time Function of a Class of Semilinear Control Systems

    237752_237752.pdf (303.2Kb)
    Access Status
    Open access
    Authors
    Jiang, Y.
    He, Y.
    Sun, Jie
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Jiang, Y. and He, Y. and Sun, J. 2015. Proximal Analysis and the Minimal Time Function of a Class of Semilinear Control Systems. Journal of Optimization Theory and Applications. 169 (3): pp. 784-800.
    Source Title
    Journal of Optimization Theory and Applications
    DOI
    10.1007/s10957-015-0848-z
    ISSN
    0022-3239
    School
    Department of Mathematics and Statistics
    Remarks

    The final publication is available at Springer via http://doi.org/10.1007/s10957-015-0848-z

    URI
    http://hdl.handle.net/20.500.11937/15548
    Collection
    • Curtin Research Publications
    Abstract

    The minimal time function of a class of semilinear control systems is considered in Banach spaces, with the target set being a closed ball. It is shown that the minimal time functions of the Yosida approximation equations converge to the minimal time function of the semilinear control system. Complete characterization is established for the subdifferential of the minimal time function satisfying the Hamilton–Jacobi–Bellman equation. These results extend the theory of finite dimensional linear control systems to infinite dimensional semilinear control systems.

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