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Zbl 1245.93022
Sakthivel, R.; Mahmudov, N.I.; Nieto, Juan.J.
Controllability for a class of fractional-order neutral evolution control systems. (English)
[J] Appl. Math. Comput. 218, No. 20, 10334-10340 (2012). ISSN 0096-3003

Summary: We consider a class of fractional neutral control systems governed by abstract nonlinear fractional neutral differential equations. This paper deals with the exact controllability for fractional differential neutral control systems. First, we establish a new set of sufficient conditions for the controllability of nonlinear fractional systems by using a fixed-point analysis approach. Further, we extend the result to study the controllability concept with nonlocal conditions. In particular, the controllability of nonlinear systems is established under the natural assumption that the associated linear control system is exactly controllable.

MSC 2000:: *93B05 Controllability
93C25 Control systems in abstract spaces
34A08

Keywords: exact controllability; fractional control systems; semigroup theory

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