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.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] On the 'bang-bang' principle for a class of fractional semilinear evolution inclusions
    Liu, Xiaoyou
    Liu, Zhenhai
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2014, 144 (02) : 333 - 349
  • [22] Topological structure of solution sets for control problems governed by semilinear fractional impulsive evolution equations with nonlocal conditions
    Jiang Y.-R.
    Zhang Q.-F.
    Song Q.-Q.
    IMA Journal of Mathematical Control and Information, 2021, 37 (04) : 1089 - 1113
  • [23] Topological structure of solution sets for control problems governed by semilinear fractional impulsive evolution equations with nonlocal conditions
    Jiang, Yi-Rong
    Zhang, Qiong-Fen
    Song, Qi-Qing
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2020, 37 (04) : 1089 - 1113
  • [24] Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
    Balachandran, K.
    Park, J. Y.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4471 - 4475
  • [25] EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS
    Balachandran, K.
    Kiruthika, S.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (04) : 1 - 12
  • [26] Relaxation and weak solutions of nonlocal semilinear evolution systems
    Javaid, N.
    Bilal, S.
    Donchev, T.
    Lazu, A., I
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [27] Approximate controllability for fractional semilinear parabolic equations
    Huang, Yong
    Liu, Zhenhai
    Wen, Ching-Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (11) : 2971 - 2979
  • [28] Relative controllability of semilinear fractional stochastic control systems in Hilbert spaces
    Guendouzi, Toufik
    Hamada, Iqbal
    FILOMAT, 2013, 27 (08) : 1485 - 1495
  • [29] CONTROLLABILITY OF SEMILINEAR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH FRACTIONAL BROWNIAN MOTION
    Cao, Nan
    Fu, Xianlong
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2022, 34 (04) : 409 - 432
  • [30] Feedback control for fractional impulsive evolution systems
    Xiao, Cuie
    Zeng, Biao
    Liu, Zhenhai
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 924 - 936
12345