RELAXATION IN CONTROL SYSTEMS OF FRACTIONAL SEMILINEAR EVOLUTION EQUATIONS

被引：0
|
作者：
Liu, Xiaoyou [1 ]
Fu, Xi [2 ]
机构：
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
[2] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
关键词：
Fractional semilinear evolution equation; relaxation property; feedback control; nonconvex constraint; mild solution; L(P)-CONTINUOUS EXTREME SELECTORS; BOUNDARY-VALUE-PROBLEMS; APPROXIMATE CONTROLLABILITY; DECOMPOSABLE VALUES; MULTIFUNCTIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：16
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