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    Existence for calculus of variations and optimal control problems on time scales

    Access Status
    Fulltext not available
    Authors
    Zhan, Zaidong
    Wei, Wei
    Li, Yinfei
    Xu, Honglei
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Zhan, Zaidong and Wei, Wei and Li, Yinfei and Xu, Honglei. 2012. Existence for calculus of variations and optimal control problems on time scales. International Journal of Innovative Computing, Infomation and Control 8 (5B): pp. 3793-3808.
    Source Title
    International Journal of Innovative Computing, Infomation and Control
    Additional URLs
    http://www.ijicic.org/icoco2010-06.pdf
    ISSN
    13494198
    URI
    http://hdl.handle.net/20.500.11937/31815
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we prove the existence for optimal control problems with terminal constraints on time scales. A definition of the solution of semi-linear control systems involving Sobolev space W1;2T is proposed and new existence and uniqueness results of this kind of dynamic systems on time scales are presented under a weaker assumption. According to L2T strong-weak lower semi-continuity of integral functionals, we establish the existence of optimal controls. In particular, the existence for calculus of variations on time scales is derived.

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