One of the practical applications of chaotic systems is the design of a random number
generator. In the literature, generally random number generators are designed using …

This paper concentrates on the sliding mode H∞ control for variable fractional order
uncertain differential systems with time-varying delay and external disturbance by using the …

In this paper, we discuss the implementation and tuning algorithms of a variable-, fractional-
order Proportional–Integral–Derivative (PID) controller based on Grünwald–Letnikov …

The robust control for uncertain variable fractional order time‐varying delayed differential
systems with nonlinear perturbations are concerned in this article. Firstly, by introducing a …

The problem of stability of the Grünwald-Letnikov-type linear fractional variable order
discrete-time systems is discussed. As a definition of the Grünwald-Letnikov difference is a …

This paper concentrates on the robust stability and stabilization analysis of variable
fractional order uncertain differential systems with time-varying delay. Firstly, by using a …

In the literature, many chaotic systems have been used in the design of image encryption
algorithms. In this study, an application of fractional order chaotic systems is investigated …

In the paper, there is presented a MATLAB Toolbox that allows simulation and parameter
tuning of closed-loop systems with fractional-variable-order digital PID (FVOPID) controllers …

In the paper we propose a fractional-piecewise-constant-order PID controller and discuss
the stability and robustness of a closed loop system. In stability analysis we use the …

Fractional non-continuous switched systems are delineated by one category of difference
systems. Those distinguished by operators indicating non-integer differences. In spite of the …