Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model

Abstract

The stability problems of fractional discrete-time linear scalar systems described by the new model are considered. Using the classical D-partition method, the necessary and sufficient conditions for practical stability and asymptotic stability are given. The considerations are il-lustrated by numerical examples.

Keywords

• asymptotic stability
• practical stability
• fractional order
• discrete-time linear system