Controllability for a class of fractional-order neutral evolution control systems
Controllability for a class of fractional-order neutral evolution control systems
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DOI：
10.1016/j.amc.2012.03.093
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发表时间：
2012-06-15
影响因子：
4
通讯作者：
Nieto, Juan. J.
中科院分区：
文献类型：
--
作者：
Sakthivel, R.;Mahmudov, N. I.;Nieto, Juan. J.
在本文中，我们考虑一类由抽象非线性分数中性微分方程控制的分数中性控制系统。本文讨论分数阶微分中性控制系统的精确可控性。首先，我们使用不动点分析方法建立了一组新的非线性分式系统可控性的充分条件。此外，我们将结果扩展到研究非局部条件下的可控性概念。特别是，非线性系统的可控性是在相关线性控制系统精确可控的自然假设下建立的。 (C) 2012 Elsevier Inc. 保留所有权利。
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. (C) 2012 Elsevier Inc. All rights reserved.