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Optimal feedback control for semilinear fractional evolution equations in Banach spaces

In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence...

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Bibliographic Details
Published in:Systems & control letters 2012-04, Vol.61 (4), p.472-476
Main Authors: Wang, JinRong, Zhou, Yong, Wei, Wei
Format: Article
Language:English
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Summary:In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange problem is presented.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2011.12.009