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On The Exact Controllability of Impulsive Fractional Semilinear Functional Differential Inclusions
Author(s) -
Liu Zhenhai,
Li Xiuwen
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1071
Subject(s) - controllability , differential inclusion , mathematics , hilbert space , fixed point theorem , differential (mechanical device) , fixed point , mathematical analysis , control theory (sociology) , control (management) , pure mathematics , computer science , physics , artificial intelligence , thermodynamics
In this paper, we deal with the exact controllability for impulsive fractional semilinear functional differential inclusions in Hilbert spaces. Under suitable assumptions, the exact controllability of the control systems are formulated and proved. The main tools in our study rely on the fixed point theorem for multivalued maps due to Dhage associated with evolution systems.