scholarly journals NONOSCILLATIONS IN ODD ORDER DIFFERENCE SYSTEMS OF MIXED TYPE

2007 ◽  
Author(s):  
SANDRA PINELAS
Keyword(s):  
Mixed Type ◽  
Order Difference ◽  
Difference Systems ◽  
Odd Order

Chaos in fractional-order difference systems

2022 ◽  
pp. 257-286
Author(s):  
Amina-Aicha Khennaoui ◽  
Adel Ouannas ◽  
Iqbal M. Batiha ◽  
Viet-Thanh Pham
Keyword(s):  
Fractional Order ◽  
Order Difference ◽  
Difference Systems

scholarly journals On the Stability of Linear Incommensurate Fractional-Order Difference Systems

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1754
Author(s):  
Noureddine Djenina ◽  
Adel Ouannas ◽  
Iqbal M. Batiha ◽  
Giuseppe Grassi ◽  
Viet-Thanh Pham
Keyword(s):  
Fractional Order ◽  
Difference Equations ◽  
Equivalent System ◽  
Stability Of Solutions ◽  
Extended Version ◽  
Transform Method ◽  
Order Difference ◽  
Difference Systems ◽  
The Stability

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.

scholarly journals Full-order observers for linear fractional multi-order difference systems

2017 ◽  
Vol 65 (6) ◽  
pp. 891-898 ◽  
Author(s):  
M. Wyrwas
Keyword(s):  
Sufficient Condition ◽  
Transform Method ◽  
Order Difference ◽  
Numerical Examples ◽  
Difference Systems

AbstractThe paper is devoted to the construction of observers for linear fractional multi–order difference systems with Riemann–Liouville– and Grünwald–Letnikov–type operators. Basing on the Z-transform method the sufficient condition for the existence of the presented observers is established. The behaviour of the constructed observer is demonstrated in numerical examples.

Sign in / Sign up

Export Citation Format

Share Document