Controllability Criteria for Linear Fractional DifferentialSystems with State Delay and Impulses

[摘要] This paper is concerned with the controllability of linear fractional differential systems with delay in state and impulses. The factors of such systems including fractional derivative, impulses, and delay are taken into account synchronously. The expression of state response for such systems is derived, and the sufficient and necessary conditions ofcontrollability criteria are established. Both the proposed criteria and illustrative examplesshow that the controllabilityproperty of the linear systems is dependent neither on the order of fractional derivative, on delay nor on impulses.

[学科分类] 应用数学