Solution of the state equation of descriptor fractional continuous-time linear systems with two different fractional

Abstract

The descriptor fractional continuous-time linear systems with two different fractional orders are considered. The Drazin inverse of matrices is applied to find the solutions of the state equations. Some additional changes to classical Drazin approach for finding solution of the state equation of descriptor systems is proposed. An equality defining the set of admissible initial conditions for given inputs is derived.