In this paper, we discuss and investigate the impulsive synchronization of fractional-order
discrete-time chaotic systems. The proposed method is based on the impulsive …

There are a few different ways to extend regular nonlinear dynamical systems by introducing
power-law memory or considering fractional differential/difference equations instead of …

We compare three different types of h-difference fractional operators: Grünwald-Letnikov,
Caputo, Riemann-Liouville types of operators. There is introduced the formula for …

The concepts of local controllability and observability of nonlinear discrete-time systems with
the Caputo-, Riemann–Liouville-and Grünwald–Letnikov-type h-difference fractional order …

In fractional dynamics, as in regular dynamics, discrete maps can be used to investigate
general properties of dynamical systems. Maps with power-law memory related to fractional …

This paper deals with the synchronization of fractional-order chaotic discrete-time systems.
First, some new concepts regarding the output-memory observability of non-linear fractional …

A class of h-difference linear control systems with two fractional orders is studied. Caputo
type h-difference operator is used. The formula of the solution to the stated initial value …

In this paper, we establish a connection between the well-known Grünwald–Letnikov
fractional operators which were defined in the mid–1800s and the recently defined fractional …

In the paper we study the subject of stability of systems with $ h $-differences of Caputo-,
Riemann-Liouville-and Grünwald-Letnikov-type with $ n $ fractional orders. The equivalent …

In the paper the problems of controllability, reachability and minimum energy control of a
fractional discrete-time linear system with delays in state are addressed. A general form of …