On the Stability of Linear Incommensurate Fractional-Order Difference Systems

被引：9

作者：

Djenina, Noureddine ^{[1
]}

Ouannas, Adel ^{[1
]}

Batiha, Iqbal M. ^{[2
]}

Grassi, Giuseppe ^{[3
]}

Pham, Viet-Thanh ^{[4
]}

机构：

[1] Univ Laarbi Tebessi, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria

[2] Univ Jordan, Dept Math, Amman 11942, Jordan

[3] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy

[4] Ton Duc Thang Univ, Fac Elect & Elect Engn, Nonlinear Syst & Applicat, Ho Chi Minh City 758307, Vietnam

来源：

MATHEMATICS | 2020年 / 8卷 / 10期

关键词：

Z-transform method; linear incommensurate fractional-order difference system; stability;

D O I：

10.3390/math8101754

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 12

页数：12

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