Xiaoyou Liu, Xi Fu
Abstract:
We consider a control system described by fractional semilinear evolution
equations with a mixed multivalued control constraint whose values are
nonconvex closed sets. Along with the original system, we consider
the system in which the constraint on the control is the closed convex
hull of the original constraint. We obtain existence results for the
control systems and study relations between the solution sets
of the two systems. An example is given to illustrate the abstract results.
Submitted October 15, 2013. Published January 14, 2014.
Math Subject Classifications: 34G20, 93C20, 34A08.
Key Words: Fractional semilinear evolution equation; relaxation property;
feedback control; nonconvex constraint; mild solution.
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Xiaoyou Liu School of Mathematics and Physics University of South China Hengyang 421001, Hunan Province, China email: liuxiaoyou2002@hotmail.com Phone +86 13548962352 |
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Xi Fu Department of Mathematics, Shaoxing University Shaoxing 312000, Zhejiang Province, China email: fuxi1984@hotmail.com |
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