On the Stability of Linear Incommensurate Fractional-Order Difference Systems

Noureddine Djenina, Adel Ouannas, Iqbal M. Batiha, Giuseppe Grassi and Viet-Thanh Pham
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Noureddine Djenina: Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Laarbi Tebessi, Tebessa 12002, Algeria
Adel Ouannas: Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Laarbi Tebessi, Tebessa 12002, Algeria
Iqbal M. Batiha: Department of Mathematics, University of Jordan, Amman 11942, Jordan
Giuseppe Grassi: Dipartimento Ingegneria Innovazione, Universita del Salento, 73100 Lecce, Italy
Viet-Thanh Pham: Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam

Mathematics, 2020, vol. 8, issue 10, 1-12

Abstract: To follow up on the progress made on exploring the stability investigation of linear commensurate Fractional-order Difference Systems (FoDSs), such topic of its extended version that appears with incommensurate orders is discussed and examined in this work. Some simple applicable conditions for judging the stability of these systems are reported as novel results. These results are formulated by converting the linear incommensurate FoDS into another equivalent system consists of fractional-order difference equations of Volterra convolution-type as well as by using some properties of the Z -transform method. All results of this work are verified numerically by illustrating some examples that deal with the stability of solutions of such systems.

Keywords: Z -transform method; linear incommensurate fractional-order difference system; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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