分数阶时滞微分系统的能控性判据

Criterion of controllability for fractional differential systems with delay

本文主要考虑一类分数阶时滞微分系统的能控性问题,这类系统有两个不同阶数的分数阶导数。首先将微分系统转化为积分系统,然后运用Laplace变换得到系统的解,最后给出该类系统完全能控的充要条件。

In this paper,we focus on the controllability of fractional delay differential systems,it contains two different fractional derivatives.The main task of this paper is firstly transfer the differential systems into integral systems,then via Laplace transform to get the solution of the systems.The necessary and sufficient conditions of the controllability of fractional differential systems can be obtained according to the definition of controllability.