Positivity of Fractional Descriptor Linear Discrete–Time Systems

Abstract

The positivity of fractional descriptor linear discrete-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear discrete-time systems are established. The discussion is illustrated with numerical examples.

Keywords

• fractional
• descriptor
• linear
• discrete-time
• system
• stability
• solution
• positivity