Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains

JOURNAL ARTICLE published 1 September 2012 in International Journal of Applied Mathematics and Computer Science

Authors: Piotr Ostalczyk

On simplified forms of the fractional-order backward difference and related fractional-order linear discrete-time system description

JOURNAL ARTICLE published 1 June 2015 in Bulletin of the Polish Academy of Sciences Technical Sciences

Authors: P. Ostalczyk

Stability analysis of a discrete-time system with a variable-, fractional-order controller

JOURNAL ARTICLE published 1 December 2010 in Bulletin of the Polish Academy of Sciences: Technical Sciences

Authors: P. Ostalczyk

Finite-time stability in measure for nabla uncertain discrete linear fractional order systems

JOURNAL ARTICLE published March 2024 in Mathematical Sciences

Research funded by National Natural Science Foundation of China (No.61673011) | Postgraduate Research and Practice Innovation Program of Jiangsu Province (No. KYCX20_0239)

Authors: Qinyun Lu | Yuanguo Zhu

Variable-, fractional-order discrete PID controllers

PROCEEDINGS ARTICLE published August 2012 in 2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR)

Authors: Piotr Ostalczyk

Generalized Fractional-Order Discrete-Time Integrator

JOURNAL ARTICLE published 2017 in Complexity

Research funded by Bialystok University of Technology (S/WI/1/2016,501∖12-24-1-5437)

Authors: Dorota Mozyrska | Piotr Ostalczyk

Fundamental properties of the fractional-order discrete-time integrator

JOURNAL ARTICLE published November 2003 in Signal Processing

Authors: Piotr Ostalczyk

Finite-time stability of linear fractional time-delay q-difference dynamical system

JOURNAL ARTICLE published June 2018 in Journal of Applied Mathematics and Computing

Authors: Kuikui Ma | Shurong Sun

Discrete-Time Fractional-Order Systems: Modeling and Stability Issues

BOOK CHAPTER published 5 December 2012 in Advances in Discrete Time Systems

Authors: Said Guermah | Said Djennoune | Maamar Bettayeb

Robust stability and stabilization of discrete singular systems with interval time-varying delay and linear fractional uncertainty

JOURNAL ARTICLE published February 2012 in International Journal of Automation and Computing

Authors: Jian-Min Jiao

Variable-, Fractional-Order Linear MIMO System Matrix Description

PROCEEDINGS ARTICLE published August 2019 in 2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)

Authors: Piotr Ostalczyk

Responses comparison of the two discrete-time linear fractional state-space models

JOURNAL ARTICLE published August 2016 in Fractional Calculus and Applied Analysis

Authors: Tadeusz Kaczorek | Piotr Ostalczyk

Stability of fractional-order periodic discrete-time linear systems

JOURNAL ARTICLE published 27 August 2015 in IMA Journal of Mathematical Control and Information

Authors: H. A. Tehrani | J. Esmaeili

The Grünwald-Letnikov formula and its equivalent Horner's form accuracy comparison and evaluation for application to fractional order PID controllers

PROCEEDINGS ARTICLE published August 2012 in 2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR)

Authors: Dariusz W. Brzezinski | Piotr Ostalczyk

The second form of the variable-, fractional-order discrete-time integrator

PROCEEDINGS ARTICLE published August 2016 in 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR)

Authors: Piotr Ostalczyk | Dorota Mozyrska

Approximate Analytical Solution for Non-Linear Fitzhugh–Nagumo Equation of Time Fractional Order Through Fractional Reduced Differential Transform Method

JOURNAL ARTICLE published April 2022 in International Journal of Applied and Computational Mathematics

Authors: Pankaj Ramani | Arif M. Khan | Daya Lal Suthar | Dinesh Kumar

A stability criterion for discrete-time fractional-order echo state network and its application

JOURNAL ARTICLE published March 2021 in Soft Computing

Research funded by National Natural Science Foundation of China (61473070,61627809) | Fundamental Research Funds for the State Key Laboratory of Synthetical Automation for Process Industries (2018ZCX22) | Liaoning Revitalization Talents Program (XLYC1802010)

Authors: Xianshuang Yao | Zhanshan Wang | Zhanjun Huang

A generalized discrete fractional Gronwall inequality and its application on the uniqueness of solutions for nonlinear delay fractional difference system

JOURNAL ARTICLE published 2018 in Applicable Analysis and Discrete Mathematics

Authors: Jehad Alzabut | Thabet Abdeljawad

Evaluation of fractional order of the discrete integrator. Part II

JOURNAL ARTICLE published April 2020 in Fractional Calculus and Applied Analysis

Authors: Piotr Ostalczyk | Marcin Bąkała | Jacek Nowakowski | Dominik Sankowski

The variable, fractional-order discrete-time PD controller in the IISv1.3 robot arm control

JOURNAL ARTICLE published 1 January 2013 in Open Physics

Authors: Piotr Ostalczyk | Dariusz Brzezinski | Piotr Duch | Maciej Łaski | Dominik Sankowski