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1

Analytical solution of fractional variable order differential equations

Malesza, W., Macias, M., Sierociuk, D.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.19 MB

english, 2018

2

Experimental Evidence of Variable-Order Behavior of Ladders and Nested Ladders

Sierociuk, Dominik, Podlubny, Igor, Petras, Ivo

Journal:

IEEE Transactions on Control Systems Technology

Year:

2013

Language:

english

File:

PDF, 1.93 MB

english, 2013

3

[IEEE 2014 International Conference on Fractional Differentiation and its Applications (ICFDA) - Catania (2014.6.23-2014.6.25)] ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 - Improved fractional Kalman filter for variable order systems

Ziubinski, Pawel, Sierociuk, Dominik

Year:

2014

Language:

english

File:

PDF, 188 KB

english, 2014

4

SPIE Proceedings [SPIE SPIE Proceedings - (Sunday 12 February 2012)] - Estimation and control of discrete fractional order states-space systems

Sierociuk, Dominik, Dzielinski, Andrzej, Romaniuk, Ryszard S.

Year:

2012

Language:

english

File:

PDF, 214 KB

english, 2012

5

[IEEE Robotics (MMAR) - Miedzyzdroje, Poland (2011.08.22-2011.08.25)] 2011 16th International Conference on Methods & Models in Automation & Robotics - New method of fractional order integrator analog modeling for orders 0.5 and 0.25

Sierociuk, Dominik, Dzielinski, Andrzej

Year:

2011

Language:

english

File:

PDF, 1.31 MB

english, 2011

6

Stability of Discrete Fractional Order State-space Systems

Dzielinski, A., Sierociuk, D.

Journal:

Journal of Vibration and Control

Year:

2008

Language:

english

File:

PDF, 1.91 MB

english, 2008

7

Diffusion process modeling by using fractional-order models

Sierociuk, Dominik, Skovranek, Tomas, Macias, Michal, Podlubny, Igor, Petras, Ivo, Dzielinski, Andrzej, Ziubinski, Pawel

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 1.92 MB

english, 2015

8

Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification

Sierociuk, D., Malesza, W., Macias, M.

Journal:

Journal of Vibration and Control

Year:

2015

Language:

english

File:

PDF, 1.30 MB

english, 2015

9

[IEEE 2015 IEEE International Symposium on Circuits and Systems (ISCAS) - Lisbon, Portugal (2015.5.24-2015.5.27)] 2015 IEEE International Symposium on Circuits and Systems (ISCAS) - Fractional order noise identification with application to temperature sensor data

Ziubinski, Pawel, Sierociuk, Dominik

Year:

2015

Language:

english

File:

PDF, 339 KB

english, 2015

10

STABILITY OF DISCRETE FRACTIONAL ORDER STATE-SPACE SYSTEMS

Dzieliński, Andrzej, Sierociuk, Dominik

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 753 KB

english, 2006

11

Simulation and experimental tools for fractional order control education

Dzieliński, Andrzej, Sierociuk, Dominik

Journal:

IFAC Proceedings Volumes

Year:

2008

Language:

english

File:

PDF, 568 KB

english, 2008

12

Analog realization of fractional variable-type and -order iterative operator

Sierociuk, Dominik, Macias, Michal, Malesza, Wiktor

Journal:

Applied Mathematics and Computation

Year:

2018

Language:

english

File:

PDF, 1005 KB

english, 2018

13

[IEEE 2019 20th International Carpathian Control Conference (ICCC) - Krakow-Wieliczka, Poland (2019.5.26-2019.5.29)] 2019 20th International Carpathian Control Conference (ICCC) - Variable-order PI Control Algorithm with Order Scheduled According to the Control Error and Anti-windup Strategy

Sierociuk, Dominik, Wiraszka, Michal Slawomir

Year:

2019

Language:

english

File:

PDF, 606 KB

english, 2019

14

Improved fractional Kalman filter and its application to estimation over lossy networks

Dominik Sierociuk, Inés Tejado, Blas M. Vinagre

Journal:

Signal Processing

Year:

2011

Language:

english

File:

PDF, 417 KB

english, 2011

15

Comparison and validation of integer and fractional order ultracapacitor models

Andrzej Dzieliński, Grzegorz Sarwas, Dominik Sierociuk

Journal:

Advances in Difference Equations

Year:

2011

Language:

english

File:

PDF, 460 KB

english, 2011

16

[IEEE International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC'06) - Vienna, Austria (28-30 Nov. 2005)] International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC'06) - Adaptive Feedback Control of Fractional Order Discrete State-Space Systems

Dzielinski, A., Sierociuk, D.

Year:

2005

Language:

english

File:

PDF, 269 KB

english, 2005

17

Identification of Parameters of a Half-Order System

Petras, Ivo, Sierociuk, Dominik, Podlubny, Igor

Journal:

IEEE Transactions on Signal Processing

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

18

Boolean-based fractional order SMC for switching systems: application to a DC-DC buck converter

Hosseinnia, S. Hassan, Tejado, Inés, Vinagre, Blas M., Sierociuk, Dominik

Journal:

Signal, Image and Video Processing

Year:

2012

Language:

english

File:

PDF, 308 KB

english, 2012

19

[IEEE 2012 13th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2012.05.28-2012.05.31)] Proceedings of the 13th International Carpathian Control Conference (ICCC) - Ultracapacitor modeling and control with discrete fractional order artificial neural network

Sarwas, Grzegorz, Sierociuk, Dominik, Dzielinski, Andrzej

Year:

2012

Language:

english

File:

PDF, 512 KB

english, 2012

20

Analog Modeling of Fractional Switched Order Derivative Using Different Switching Schemes

Sierociuk, Dominik, Macias, Michal, Malesza, Wiktor

Journal:

IEEE Journal on Emerging and Selected Topics in Circuits and Systems

Year:

2013

Language:

english

File:

PDF, 2.04 MB

english, 2013

21

[IEEE 2012 13th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2012.05.28-2012.05.31)] Proceedings of the 13th International Carpathian Control Conference (ICCC) - Fractional order calculus for modeling and fractional PID control of the heating process

Macias, Michal, Sierociuk, Dominik

Year:

2012

Language:

english

File:

PDF, 1.07 MB

english, 2012

22

[IEEE 2013 14th International Carpathian Control Conference (ICCC) - Rytro, Poland (2013.05.26-2013.05.29)] Proceedings of the 14th International Carpathian Control Conference (ICCC) - Comparison of variable fractional order PID controller for different types of variable order derivatives

Sierociuk, Dominik, Macias, Michal

Year:

2013

Language:

english

File:

PDF, 651 KB

english, 2013

23

Some applications of fractional order calculus

Dzieliński, A., Sierociuk, D., Sarwas, G.

Journal:

Bulletin of the Polish Academy of Sciences Technical Sciences

Year:

2010

Language:

english

File:

PDF, 1.18 MB

english, 2010

24

[IEEE 2010 49th IEEE Conference on Decision and Control (CDC) - Atlanta, GA, USA (2010.12.15-2010.12.17)] 49th IEEE Conference on Decision and Control (CDC) - Time domain validation of ultracapacitor fractional order model

Dzielinski, Andrzej, Sarwas, Grzegorz, Sierociuk, Dominik

Year:

2010

Language:

english

File:

PDF, 162 KB

english, 2010

25

[IEEE 2013 14th International Carpathian Control Conference (ICCC) - Rytro, Poland (2013.05.26-2013.05.29)] Proceedings of the 14th International Carpathian Control Conference (ICCC) - Modeling of electrical drive system with flexible shaft based on fractional calculus

Macias, Michal, Sierociuk, Dominik

Year:

2013

Language:

english

File:

PDF, 1.14 MB

english, 2013

26

[IEEE Robotics (MMAR) - Miedzyzdroje, Poland (2011.08.22-2011.08.25)] 2011 16th International Conference on Methods & Models in Automation & Robotics - Modeling of heat transfer process by using discrete fractional-order neural networks

Sierociuk, Dominik, Petras, Ivo

Year:

2011

Language:

english

File:

PDF, 1000 KB

english, 2011

27

Modelling heat transfer in heterogeneous media using fractional calculus

Sierociuk, D., Dzielinski, A., Sarwas, G., Petras, I., Podlubny, I., Skovranek, T.

Journal:

Philosophical Transactions Mathematical Physical & Engineering Sciences

Year:

2013

Language:

english

File:

PDF, 523 KB

english, 2013

28

[IEEE 2011 12th International Carpathian Control Conference (ICCC) - Velke Karlovice, Czech Republic (2011.05.25-2011.05.28)] 2011 12th International Carpathian Control Conference (ICCC) - Frequency response based identification of fractional order dynamical systems

Dzielinski, Andrzej, Sarwas, Grzegorz, Sierociuk, Dominik, Skovranek, Tomas, Petras, Ivo

Year:

2011

Language:

english

File:

PDF, 227 KB

english, 2011

29

Fractional Order Estimation Schemes for Fractional and Integer Order Systems with Constant and Variable Fractional Order Colored Noise

Sierociuk, Dominik, Ziubinski, Pawel

Journal:

Circuits, Systems, and Signal Processing

Year:

2014

Language:

english

File:

PDF, 765 KB

english, 2014

30

[IEEE 2014 15th International Carpathian Control Conference (ICCC) - Velke Karlovice, Czech Republic (2014.5.28-2014.5.30)] Proceedings of the 2014 15th International Carpathian Control Conference (ICCC) - Initial conditions for a recursive constant and variable fractional-order derivative and its verification based on analog model

Sierociuk, Dominik, Macias, Michal

Year:

2014

Language:

english

File:

PDF, 1.27 MB

english, 2014

31

[IEEE 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) - Firenze (2013.12.10-2013.12.13)] 52nd IEEE Conference on Decision and Control - Switching scheme, equivalence, and analog validation of the alternative fractional variable-order derivative definition

Sierociuk, Dominik, Malesza, Wiktor, Macias, Michal

Year:

2013

Language:

english

File:

PDF, 449 KB

english, 2013

32

[IEEE 2010 49th IEEE Conference on Decision and Control (CDC) - Atlanta, GA, USA (2010.12.15-2010.12.17)] 49th IEEE Conference on Decision and Control (CDC) - Infinite horizon state-feedback LQR controller for fractional systems

Sierociuk, Dominik, Vinagre, Blas M.

Year:

2010

Language:

english

File:

PDF, 1.04 MB

english, 2010

33

[IEEE 2013 14th International Carpathian Control Conference (ICCC) - Rytro, Poland (2013.05.26-2013.05.29)] Proceedings of the 14th International Carpathian Control Conference (ICCC) - On a new definition of fractional variable-order derivative

Sierociuk, Dominik, Malesza, Wiktor, Macias, Michal

Year:

2013

Language:

english

File:

PDF, 875 KB

english, 2013

34

[IEEE 2013 12th International Conference on Environment and Electrical Engineering (EEEIC) - Wroclaw (2013.5.5-2013.5.8)] 2013 12th International Conference on Environment and Electrical Engineering - Resonance phenomena in circuits with ultracapacitors

Sierociuk, D., Sarwas, G., Twardy, M.

Year:

2013

Language:

english

File:

PDF, 166 KB

english, 2013

35

[IEEE 2012 13th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2012.05.28-2012.05.31)] Proceedings of the 13th International Carpathian Control Conference (ICCC) - System properties of Fractional Variable Order Discrete state-space system

Sierociuk, Dominik

Year:

2012

Language:

english

File:

PDF, 388 KB

english, 2012

36

On the Recursive Fractional Variable-Order Derivative: Equivalent Switching Strategy, Duality, and Analog Modeling

Sierociuk, Dominik, Malesza, Wiktor, Macias, Michal

Journal:

Circuits, Systems, and Signal Processing

Year:

2015

Language:

english

File:

PDF, 2.13 MB

english, 2015

37

Derivation, interpretation, and analog modelling of fractional variable order derivative definition

Sierociuk, Dominik, Malesza, Wiktor, Macias, Michal

Journal:

Applied Mathematical Modelling

Year:

2015

Language:

english

File:

PDF, 529 KB

english, 2015

38

[IEEE 2014 19th International Conference on Methods & Models in Automation & Robotics (MMAR) - Miedzyzdroje (2014.9.2-2014.9.5)] 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR) - Identification of fractional order noises

Sierociuk, Dominik, Ziubinski, Pawel

Year:

2014

Language:

english

File:

PDF, 1.95 MB

english, 2014

39

[IEEE 2014 19th International Conference on Methods & Models in Automation & Robotics (MMAR) - Miedzyzdroje (2014.9.2-2014.9.5)] 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR) - Improved fractional Kalman filter for variable order systems with lossy and delayed network

Ziubinski, Pawel, Sierociuk, Dominik

Year:

2014

Language:

english

File:

PDF, 2.06 MB

english, 2014

40

[IEEE 2014 International Conference on Fractional Differentiation and its Applications (ICFDA) - Catania (2014.6.23-2014.6.25)] ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 - An alternative recursive fractional variable-order derivative definition and its analog validation

Macias, Michal, Sierociuk, Dominik

Year:

2014

Language:

english

File:

PDF, 401 KB

english, 2014

41

Duality of variable fractional order difference operators and its application in identification

Sierociuk, D., Twardy, M.

Journal:

Bulletin of the Polish Academy of Sciences Technical Sciences

Year:

2014

Language:

english

File:

PDF, 1.39 MB

english, 2014

42

[IEEE 2014 International Conference on Fractional Differentiation and its Applications (ICFDA) - Catania (2014.6.23-2014.6.25)] ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 - Analytical description and equivalence of additive-switching scheme for fractional variable-order continuous differ-integrals

Malesza, Wiktor, Sierociuk, Dominik

Year:

2014

Language:

english

File:

PDF, 1.25 MB

english, 2014

43

[IEEE 2015 American Control Conference (ACC) - Chicago, IL, USA (2015.7.1-2015.7.3)] 2015 American Control Conference (ACC) - Solution of fractional variable order differential equation

Malesza, Wiktor, Sierociuk, Dominik, Macias, Michal

Year:

2015

Language:

english

File:

PDF, 234 KB

english, 2015

44

Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements

Sierociuk, Dominik, Macias, Michal, Malesza, Wiktor, Sarwas, Grzegorz

Journal:

Circuits, Systems, and Signal Processing

Year:

2016

Language:

english

File:

PDF, 1.78 MB

english, 2016

45

[IEEE 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR ) - Miedzyzdroje, Poland (2015.8.24-2015.8.27)] 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR) - Practical analog realization of multiple order switching for recursive fractional variable order derivative

Sierociuk, Dominik, Malesza, Wiktor, Macias, Michal

Year:

2015

File:

PDF, 440 KB

2015

46

[IEEE 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR ) - Miedzyzdroje, Poland (2015.8.24-2015.8.27)] 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR) - Practical analog realization of multiple order switching for recursive fractional variable order derivative

Sierociuk, Dominik, Malesza, Wiktor, Macias, Michal

Year:

2015

Language:

english

File:

PDF, 440 KB

english, 2015

47

OBSERVER FOR DISCRETE FRACTIONAL ORDER STATE-SPACE SYSTEMS

Dzieliński, Andrzej, Sierociuk, Dominik

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 377 KB

english, 2006

48

[IEEE 2016 17th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2016.5.29-2016.6.1)] 2016 17th International Carpathian Control Conference (ICCC) - Loop transfer recovery for fractional order control systems. First results

Vinagre, Bias M., Tejado, Ines, Romero, Miguel, Sierociuk, Dominik

Year:

2016

Language:

english

File:

PDF, 2.72 MB

english, 2016

49

[IEEE 2016 17th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2016.5.29-2016.6.1)] 2016 17th International Carpathian Control Conference (ICCC) - Recursive variable type and order difference, its definition and basic properties

Malesza, Wiktor, Sierociuk, Dominik

Year:

2016

Language:

english

File:

PDF, 157 KB

english, 2016

50

[IEEE 2016 17th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2016.5.29-2016.6.1)] 2016 17th International Carpathian Control Conference (ICCC) - New recursive approximation of fractional order derivative and its application to control

Sierociuk, Dominik, Macias, Michal

Year:

2016

Language:

english

File:

PDF, 634 KB

english, 2016