Existence for calculus of variations and optimal control problems on time scales
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Zhan, Zaidong
Wei, Wei
Li, Yinfei
Xu, Honglei
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2012Type
Journal Article
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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.
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International Journal of Innovative Computing, Infomation and Control
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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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