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1

Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Yan Li, YangQuan Chen, Igor Podlubny

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 669 KB

english, 2010

2

Mittag–Leffler stability of fractional order nonlinear dynamic systems

Yan Li, YangQuan Chen, Igor Podlubny

Journal:

Year:

2009

Language:

english

File:

PDF, 1.81 MB

english, 2009

3

What Euler could further write, or the unnoticed “big bang” of the fractional calculus

Journal:

Fractional Calculus and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 494 KB

english, 2013

4

Fractional Order Disturbance Observer for Robust Vibration Suppression

Yangquan Chen, Blas M. Vinagre, Igor Podlubny

Journal:

Nonlinear Dynamics

Year:

2004

Language:

english

File:

PDF, 424 KB

english, 2004

5

Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

Nicole Heymans, Igor Podlubny

Journal:

Rheologica Acta

Year:

2006

Language:

english

File:

PDF, 273 KB

english, 2006

6

A Special Issue in ISA Transactions “Fractional Order Signals, Systems, and Controls: Theory and Application”

Podlubny, Igor, Tavazoei, Mohammad Saleh, Vinagre Jara, Blas M., Xue, Dingyu, Chen, YangQuan, Haeri, Mohammad

Journal:

ISA Transactions

Year:

2018

Language:

english

File:

PDF, 239 KB

english, 2018

7

Modeling of the national economies in state-space: A fractional calculus approach

Tomáš Škovránek, Igor Podlubny, Ivo Petráš

Journal:

Economic Modelling

Year:

2012

Language:

english

File:

PDF, 519 KB

english, 2012

8

On the regional controllability of the sub-diffusion process with Caputo fractional derivative

Ge, Fudong, Chen, YangQuan, Kou, Chunhai, Podlubny, Igor

Journal:

Fractional Calculus and Applied Analysis

Year:

2016

Language:

english

File:

PDF, 327 KB

english, 2016

9

[ASME ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - San Diego, California, USA (August 30–September 2, 2009)] Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C - Matrix Approach to Discretization of Ordinary and Partial Differential Equations of Arbitrary Real Order: The Matlab Toolbox

Podlubny, Igor, Skovranek, Tomas, Vinagre Jara, Blas M.

Year:

2009

Language:

english

File:

PDF, 324 KB

english, 2009

10

State space description of national economies: The V4 countries

Ivo Petras, Igor Podlubny

Journal:

Computational Statistics & Data Analysis

Year:

2007

Language:

english

File:

PDF, 1.19 MB

english, 2007

11

[ASME ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, Illinois, USA (September 2–6, 2003)] Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C - A New Discretization Method for Fractional Order Differentiators via Continued Fraction Expansion

Chen, YangQuan, Vinagre, Blas M., Podlubny, Igor

Year:

2003

Language:

english

File:

PDF, 296 KB

english, 2003

12

Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives—an Expository Review

Yangquan Chen, Blas M. Vinagre, Igor Podlubny

Journal:

Nonlinear Dynamics

Year:

2004

Language:

english

File:

PDF, 718 KB

english, 2004

13

[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) - Recent advances in numerical methods for partial fractional differential equations

Podlubny, Igor, Skovranek, Tomas, Datsko, Bohdan

Year:

2014

Language:

english

File:

PDF, 90 KB

english, 2014

14

Niels Henrik Abel and the birth of fractional calculus

Podlubny, Igor, Magin, Richard L., Trymorush, Iryna

Journal:

Fractional Calculus and Applied Analysis

Language:

english

File:

PDF, 363 KB

english

15

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

Igor Podlubny, Aleksei Chechkin, Tomas Skovranek, YangQuan Chen, Blas M. Vinagre Jara

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 2.78 MB

english, 2009

16

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

17

Porous functions

Journal:

Fractional Calculus and Applied Analysis

Year:

2019

Language:

english

File:

PDF, 4.28 MB

english, 2019

18

Solitary travelling auto-waves in fractional reaction–diffusion systems

Datsko, Bohdan, Gafiychuk, Vasyl, Podlubny, Igor

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 1.70 MB

english, 2015

19

[IEEE 2016 17th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2016.5.29-2016.6.1)] 2016 17th International Carpathian Control Conference (ICCC) - Toolboxes and programs for fractional-order system identification, modeling, simulation, and control

Podlubny, Igor, Petras, Ivo, Skovranek, Tomas, Terpak, Jan

Year:

2016

Language:

english

File:

PDF, 2.28 MB

english, 2016

20

[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) - Software application for GPS devices using Google Maps

Babic, Jan, Podlubny, Igor

Year:

2011

Language:

english

File:

PDF, 901 KB

english, 2011

21

Fractional-order modeling of lithium-ion batteries using additive noise assisted modeling and correlative information criterion

Yu, Meijuan, Li, Yan, Podlubny, Igor, Gong, Fengjun, Sun, Yue, Zhang, Qi, Shang, Yunlong, Duan, Bin, Zhang, Chenghui

Journal:

Journal of Advanced Research

Year:

2020

File:

PDF, 1.38 MB

2020

22

On the fractional signals and systems

Richard Magin, Manuel D. Ortigueira, Igor Podlubny, Juan Trujillo

Journal:

Signal Processing

Year:

2011

Language:

english

File:

PDF, 663 KB

english, 2011

23

[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) - Fitting of experimental data using Mittag-Leffler function

Podlubny, Igor, Petras, Ivo, Skovranek, Tomas

Year:

2012

Language:

english

File:

PDF, 413 KB

english, 2012

24

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

25

[ASME ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, Illinois, USA (September 2–6, 2003)] Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C - On Fractional Order Disturbance Observer

Chen, YangQuan, Vinagre, Blas M., Podlubny, Igor

Year:

2003

Language:

english

File:

PDF, 397 KB

english, 2003

26

[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) - Data fitting using solutions of differential equations: Fractional-order model versus integer-order model

Skovranek, Tomas, Podlubny, Igor, Petras, Ivo, Bednarova, Dagmar

Year:

2012

Language:

english

File:

PDF, 422 KB

english, 2012

27

Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality

Hyo-Sung Ahn, YangQuan Chen, Igor Podlubny

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 640 KB

english, 2007

28

Least squares or least circles?

Ivo Petras, Igor Podlubny

Journal:

Year:

2010

Language:

english

File:

PDF, 450 KB

english, 2010

29

[ASME ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Las Vegas, Nevada, USA (September 4–7, 2007)] Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C - Adjoint Fractional Differential Expressions and Operators

Podlubny, Igor, Chen, YangQuan

Year:

2007

Language:

english

File:

PDF, 119 KB

english, 2007

30

Towards a better list of citation superstars: compiling a multidisciplinary list of highly cited researchers

Podlubny, Igor, Kassayova, Katarina

Journal:

Research Evaluation

Year:

2006

Language:

english

File:

PDF, 130 KB

english, 2006

31

24H Rhythm of the Ventricular Fibrillation Threshold During Normal and Hypoventilation in Female Wistar Rats

Švorc, Pavol, Podlubny, Igor, Kujaník, Štefan, Bracá, Imola

Journal:

Chronobiology International

Year:

1997

Language:

english

File:

PDF, 575 KB

english, 1997

32

Can Cybernetics and Fractional Calculus Be Partners?: Searching for New Ways to Solve Complex Problems

Magin, Richard, Vinagre, Blas, Podlubny, Igor

Journal:

IEEE Systems, Man, and Cybernetics Magazine

Year:

2018

Language:

english

File:

PDF, 1.10 MB

english, 2018

33

[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 - Fractional models for measuring sap velocities in trees

Tejado, Ines, Hassan HosseinNia, S., Torres, Daniel, Vinagre, Blas M., Lopez-Bernal, Alvaro, Villalobos, Francisco J., Testi, Luca, Podlubny, Igor

Year:

2014

Language:

english

File:

PDF, 828 KB

english, 2014

34

FCAA special issue – In memory of late professor Wen Chen (FCAA–Volume 22–6–2019)

Chen, YangQuan, Li, Changpin, Podlubny, Igor, Sun, Hongguang

Journal:

Fractional Calculus and Applied Analysis

Year:

2019

File:

PDF, 882 KB

2019

35

[IEEE Factory Automation (ETFA 2009) - Palma de Mallorca, Spain (2009.09.22-2009.09.25)] 2009 IEEE Conference on Emerging Technologies & Factory Automation - Matrix approach to discretization of fractional derivatives and to solution of fractional differential equations and their systems

Podlubny, Igor, Skovranek, Tomas, Vinagre Jara, Blas M.

Year:

2009

Language:

english

File:

PDF, 364 KB

english, 2009

36

Least Squares or Least Circles?

Petras, Ivo, Podlubny, Igor

Journal:

Year:

2010

Language:

english

File:

PDF, 494 KB

english, 2010

37

[IEEE 2018 19th International Carpathian Control Conference (ICCC) - Szilvasvarad, Hungary (2018.5.28-2018.5.31)] 2018 19th International Carpathian Control Conference (ICCC) - Responsive graphical user interface (ReGUI) and its implementation in MATLAB

Mikulszky, Matej, Pocsova, Jana, Mojzisova, Andrea, Podlubny, Igor

Year:

2018

Language:

english

File:

PDF, 547 KB

english, 2018

38

Special Issue on “Fractional PDEs: Theory, Numerics, and Applications”

Karniadakis, George Em, Hesthaven, Jan S., Podlubny, Igor

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 331 KB

english, 2015

39

[ASME ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Boston, Massachusetts, USA (Sunday 2 August 2015)] Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications - Is Our Universe Accelerating Dynamics Fractional Order?

Zeng, Caibin, Chen, YangQuan, Podlubny, Igor

Year:

2015

Language:

english

File:

PDF, 1.52 MB

english, 2015

40

[ASME ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Washington, DC, USA (August 28–31, 2011)] Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B - Modeling Heat Transfer in Heterogeneous Media Using Fractional Calculus

Sierociuk, Dominik, Dzieliński, Andrzej, Sarwas, Grzegorz, Petras, Ivo, Podlubny, Igor, Skovranek, Tomas

Year:

2011

Language:

english

File:

PDF, 126 KB

english, 2011

41

Robust stability check of fractional order linear time invariant systems with interval uncertainties

YangQuan Chen, Hyo-Sung Ahn, Igor Podlubny

Journal:

Signal Processing

Year:

2006

Language:

english

File:

PDF, 724 KB

english, 2006

42

[IEEE 2016 UKSim-AMSS 18th International Conference on Computer Modelling and Simulation (UKSim) - Cambridge, United Kingdom (2016.4.6-2016.4.8)] 2016 UKSim-AMSS 18th International Conference on Computer Modelling and Simulation (UKSim) - Computer-Generated Art: Madonna and Child -- Infinity of Life

Podlubny, Igor, Kmetek, Peter

Year:

2016

Language:

english

File:

PDF, 803 KB

english, 2016

43

[ASME ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Washington, DC, USA (August 28–31, 2011)] Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B - Discrete Fractional Calculus: Non-Equidistant Grids and Variable Step Length

Podlubny, Igor, Skovranek, Tomas, Petras, Ivo, Verbickij, Viktor V., Chen, YangQuan, Vinagre Jara, Blas M.

Year:

2011

Language:

english

File:

PDF, 257 KB

english, 2011

44

Reply to “Comments on ‘Mittag-Leffler stability of fractional order nonlinear dynamic systems’ [Automatica 45(8) (2009) 1965–1969]”

Li, Yan, Chen, YangQuan, Podlubny, Igor

Journal:

Year:

2016

Language:

english

File:

PDF, 292 KB

english, 2016

45

ROBUST STABILITY CHECKING OF A CLASS OF LINEAR INTERVAL FRACTIONAL ORDER SYSTEM USING LYAPUNOV INEQUALITY

Ahn, Hyosung, Chen, YangQuan, Podlubny, Igor

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 1.17 MB

english, 2006

46

[IEEE 2020 21th International Carpathian Control Conference (ICCC) - High Tatras, Slovakia (2020.10.27-2020.10.29)] 2020 21th International Carpathian Control Conference (ICCC) - Porous Functions Toolbox for MATLAB

Trymorush, Iryna, Podlubny, Igor

Year:

2020

File:

PDF, 1.18 MB

2020

47

INTRODUCTION

LI, CHANGPIN, CHEN, YANG QUAN, VINAGRE, BLAS M., PODLUBNY, IGOR

Journal:

International Journal of Bifurcation and Chaos

Year:

2012

Language:

english

File:

PDF, 98 KB

english, 2012

48

Comparison of scientific impact expressed by the number of citations in different fields of science

Journal:

Year:

2005

Language:

english

File:

PDF, 404 KB

english, 2005

49

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

50

FCAA special issue (FCAA–volume 20–5–2017)

Luchko, Yuri, Podlubny, Igor

Journal:

Fractional Calculus and Applied Analysis

Language:

english

File:

PDF, 1.31 MB

english

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