[PDF][PDF] Stability analysis for discrete-time fractional-order LTI state-space systems. Part I: New necessary and sufficient conditions for the asymptotic stability

R Stanisławski, KJ Latawiec - Bulletin of the Polish Academy of …, 2013 - bibliotekanauki.pl
This paper presents a series of new results on the asymptotic stability of discrete-time
fractional difference (FD) state space systems and their finite-memory approximations called …

A comparative analysis of Laguerre‐based approximators to the Grünwald‐Letnikov fractional‐order difference

R Stanisławski, KJ Latawiec… - … Problems in Engineering, 2015 - Wiley Online Library
This paper provides a series of new results in both steady‐state accuracy and frequency‐
domain analyses for two Laguerre‐based approximators to the Grünwald‐Letnikov …

[PDF][PDF] Normalized finite fractional differences: computational and accuracy breakthroughs

R Stanisławski, KJ Latawiec - International Journal of Applied …, 2012 - sciendo.com
This paper presents a series of new results in finite and infinite-memory modeling of discrete-
time fractional differences. The introduced normalized finite fractional difference is shown to …

Modeling and identification of a fractional-order discrete-time SISO Laguerre-Wiener system

R Stanisławski, KJ Latawiec, M Gałek… - … on Methods and …, 2014 - ieeexplore.ieee.org
This paper presents a new implementable strategy for modeling and identification of a
fractional-order discrete-time nonlinear block-oriented SISO Wiener system. The concept of …

New Laguerre Filter Approximators to the Grünwald‐Letnikov Fractional Difference

R Stanisławski - Mathematical Problems in Engineering, 2012 - Wiley Online Library
This paper presents a series of new results in modeling of the Grünwald‐Letnikov discrete‐
time fractional difference by means of discrete‐time Laguerre filers. The introduced Laguerre …

Fractional‐Order Discrete‐Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional‐Order LTI SISO Systems

R Stanisławski, KJ Latawiec - Discrete Dynamics in Nature and …, 2016 - Wiley Online Library
This paper presents new results on modeling and analysis of dynamics of fractional‐order
discrete‐time linear time‐invariant single‐input single‐output (LTI SISO) systems by means …

Finite approximations of a discrete-time fractional derivative

R Stanisławski, WP Hunek… - 2011 16th International …, 2011 - ieeexplore.ieee.org
This paper presents new results in finite-memory modeling of a discrete-time fractional
derivative. The introduced normalized finite fractional derivative is shown to properly …

Modeling and identification of fractional-order discrete-time laguerre-based feedback-nonlinear systems

R Stanisławski, KJ Latawiec, M Gałek… - Advances in Modelling …, 2015 - Springer
This paper presents a new implementable strategy for modeling and identification of a
fractional-order discrete-time block-oriented feedback-nonlinear system. Two different …

Modeling of open-loop stable linear systems using a combination of a finite fractional derivative and orthonormal basis functions

R Stanisławski, KJ Latwiec - 2010 15th International …, 2010 - ieeexplore.ieee.org
This paper presents new results in modeling of linear open-loop stable systems by means of
discrete-time finite fractional orthonormal basis functions, in particular the Laguerre …

A novel identification method for fractional-order wiener systems with PRBS input

B Safarinejadian, N Kianpour… - 2016 4th International …, 2016 - ieeexplore.ieee.org
This paper addresses the modeling and identification of a fractional-order discrete-time
SISO Laguerre-Wiener system with a pseudo-random binary sequence (PRBS) input. PRBS …