Stabilization of positive descriptor fractional continuous-time linear system with two different fractional orders by decentralized controller

Abstract

State space model of descriptor continuous-time linear system with different fractional orders is addressed. Necessary and sufficient conditions for positivity of the descriptor continuous-time linear system with different fractional orders are formulated. Decentralized controller for stabilization of the class of positive descriptor fractional systems is given. Method for finding gain matrix of the controller is presented and illustrated by a numerical example.