Optimal feedback control for semilinear fractional evolution equations in Banach spaces

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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Veröffentlicht in:Systems & control letters 2012-04, Vol.61 (4), p.472-476
Hauptverfasser: Wang, JinRong, Zhou, Yong, Wei, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Banach space
Computer science
control theory
systems
Control systems
Control theory. Systems
Evolution
Exact sciences and technology
Existence
Existence theorems
Feasible pairs
Feedback control
Fractional evolution equations
Mathematical analysis
Mild solutions
Optimal control
Optimal feedback control
Optimization
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Beschreibung
Zusammenfassung: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