Normal Fractional Positive Linear Systems and Electrical Circuits

Abstract

The notion of normal fractional positive electrical circuits is introduced and some their specific properties are investigated. New state matrices of fractional positive linear systems and electrical circuits are proposed and their properties are analyzed. The zeros and poles cancellation in the transfer functions of the fractional positive systems is discussed. It is shown that the fractional positive electrical circuits with diagonal state matrices are normal for all values of resistances, inductances and capacitances.