The non-integer difference of the discrete-time function and its application to the control system synthesis. - Piotr Ostalczyk (Int. J. Syst. Sci., 2000)

Fundamental properties of the fractional-order discrete-time integrator. - Piotr Ostalczyk (Signal Process., 2003)

The Grünwald-Letnikov formula and its equivalent Horner's form accuracy comparison and evaluation for application to fractional order PID controllers. - Dariusz W. Brzezinski; Piotr Ostalczyk (MMAR, 2012)

Variable-, fractional-order discrete PID controllers. - Piotr Ostalczyk (MMAR, 2012)

Closed - Loop system synthesis with the variable-, fractional - Order PID controller. - Piotr Ostalczyk; Piotr Duch (MMAR, 2012)

Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains. - Piotr Ostalczyk (Int. J. Appl. Math. Comput. Sci., 2012)

Variable-, Fractional-Order Dead-Beat Control of a Robot Arm. - Piotr Duch; Maciej Laski; Sylwester Blaszczyk; Piotr Ostalczyk (RRNR, 2013)

Accuracy Evaluation of Classical Integer Order Based and Direct Non-integer Order Numerical Algorithms of Non-integer Order Derivatives and Integrals Computations. - Dariusz W. Brzezinski; Piotr Ostalczyk (FedCSIS, 2014)

The Fractional-Order Backward-Difference of a Product of Two Discrete-Variable Functions (Discrete Fractional Leibnitz Rule). - Piotr Ostalczyk (RRNR, 2014)

Order Functions Selection in the Variable-, Fractional-Order PID Controller. - Piotr W. Ostalczyk; Piotr Duch; Dariusz W. Brzezinski; Dominik Sankowski (RRNR, 2014)

The effect of the order selection on the fractional potential. - Piotr Ostalczyk (MMAR, 2015)

Linearization of the Non-linear Time-Variant Fractional-Order Difference Equation. - Piotr Ostalczyk (RRNR, 2015)

Discrete Fractional Calculus - Applications in Control and Image Processing - Piotr Ostalczyk (Discrete Fractional Calculus, 2016)

Mathematical model of the VAG gas valve identification algorithms. - Adam Trojnar; Piotr Ostalczyk (FedCSIS, 2016)

The second form of the variable-, fractional-order discrete-time integrator. - Piotr Ostalczyk; Dorota Mozyrska (MMAR, 2016)

Variable-, fractional-order Grünwald-Letnikov backward difference selected properties. - Dorota Mozyrska; Piotr Ostalczyk (TSP, 2016)

About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula. - Dariusz W. Brzezinski; Piotr Ostalczyk (Commun. Nonlinear Sci. Numer. Simul., 2016)

Novelty fractional-order backward difference and its applications in a control system analysis. - Piotr Ostalczyk (MMAR, 2017)

State Delays Extraction in the Fractional-Order State-Space Model. - Piotr Ostalczyk; Marcin Bakala; Jacek Nowakowski (RRNR, 2017)

An application of forward difference of higher fractional-order in dynamic system modelling. - Dorota Mozyrska; Piotr Ostalczyk (TSP, 2017)

Generalized Fractional-Order Discrete-Time Integrator. - Dorota Mozyrska; Piotr Ostalczyk (Complex., 2017)

Variable-, Fractional-Order RST/PID Controller Transient Characteristics Calculation. - Piotr Ostalczyk (MMAR, 2018)

On a supercapacitor dynamics mathematical optimal modelling due to different measures. - Piotr Ostalczyk (CoDIT, 2019)

Parallel realization of the variable-, fractional-order difference equation. - Piotr Ostalczyk (ECC, 2019)

Variable-, Fractional-Order Linear MIMO System Matrix Description. - Piotr Ostalczyk (MMAR, 2019)

Fractional-Order Linear System Transformation to the System Described by a Classical Equation. - Piotr Ostalczyk (KKA, 2020)

Commensurate and Non-Commensurate Fractional-Order Discrete Models of an Electric Individual-Wheel Drive on an Autonomous Platform. - Marcin Bakala; Piotr Duch; J. A. Tenreiro Machado; Piotr Ostalczyk; Dominik Sankowski (Entropy, 2020)

Fractional Order Derivatives as an Optimization Tool for Object Detection and Tracking Algorithms. - Rafal E. Jachowicz; Piotr Duch; Piotr W. Ostalczyk; Dominik Sankowski (IEEE Access, 2022)