K-controllability Of Fractional-order Linear Periodic Time-varing Systemes

This paper mainly investigates K-controllability of fractional-order linear periodic timevarying systems. By using the related theory of fractional calculus, a few conclusions on K-controllability of integer-order linear periodic time-varying systems are generalized based on a class of continuous(discrete) linear periodic systems described by fractional linear differential equations. At last, we also get a result that under certain conditions K-controllability of fractional-order linear continuous(discrete) periodic time-varying systems is equivalent to their H-controllability.