Controllability for a class of fractional-order neutral evolution control systems

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• 作者：R. Sakthivel^a ; ^{krsakthivel@yahoo.com} ; N.I. Mahmudov^b ; Juan. J. Nieto^c
• 关键词：Exact controllability ; Fractional control systems ; Semigroup theory
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：15 June, 2012
• 卷：218
• 期：20
• 页码：10334-10340
• 文件大小：198 K

摘要

In this paper, 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.