Stability of Linear Discrete-Time Systems with the Caputo Fractional-, Variable-Order h-Difference Operator of Convolution Type

4 Pages Posted: 13 Nov 2018

See all articles by Dorota Mozyrska

Dorota Mozyrska

Bialystok University of Technology

Małgorzata Wyrwas

Bialystok University of Technology

Date Written: July 1, 2018

Abstract

In this article, we investigate asymptotical stability of linear systems with the Caputo fractional-, variable-order h-difference operator of convolution type. We present the recurrence formula for the solution to linear initial value problems with the considered fractional operator. Additionally, conditions for asymptotic stability and instability of considered equations are stated and proved.

Suggested Citation

Mozyrska, Dorota and Wyrwas, Małgorzata, Stability of Linear Discrete-Time Systems with the Caputo Fractional-, Variable-Order h-Difference Operator of Convolution Type (July 1, 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018, Available at SSRN: https://ssrn.com/abstract=3270846 or http://dx.doi.org/10.2139/ssrn.3270846

Dorota Mozyrska (Contact Author)

Bialystok University of Technology ( email )

Wiejska 45A
Bialystok, 15-553
Poland

Małgorzata Wyrwas

Bialystok University of Technology ( email )

Wiejska 45A
Bialystok, 15-553
Poland

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