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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 systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Journal:

IEEE Transactions on Automatic Control

Year:

1999

Language:

english

File:

PDF, 230 KB

english, 1999

5

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

6

Analogue Realizations of Fractional-Order Controllers

I. Podlubny, I. Petráš, B. M. Vinagre, P. O'Leary, Ľ. Dorčák

Journal:

Nonlinear Dynamics

Year:

2002

Language:

english

File:

PDF, 145 KB

english, 2002

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

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

9

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

10

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

11

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

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

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

14

[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

15

[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

16

[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

17

[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

18

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

19

Car-talk: Location-specific speech production and perception

Hay, Jennifer, Podlubny, Ryan, Drager, Katie, McAuliffe, Megan

Journal:

Journal of Phonetics

Year:

2017

Language:

english

File:

PDF, 890 KB

english, 2017

20

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

21

Assessing the importance of several acoustic properties to the perception of spontaneous speech

Podlubny, Ryan G., Nearey, Terrance M., Kondrak, Grzegorz, Tucker, Benjamin V.

Journal:

The Journal of the Acoustical Society of America

Year:

2018

Language:

english

File:

PDF, 326 KB

english, 2018

22

Porous functions

Journal:

Fractional Calculus and Applied Analysis

Year:

2019

Language:

english

File:

PDF, 4.28 MB

english, 2019

23

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

24

[IEEE 36th IEEE Conference on Decision and Control - San Diego, CA, USA (10-12 Dec. 1997)] Proceedings of the 36th IEEE Conference on Decision and Control - On fractional derivatives, fractional-order dynamic systems and PI/sup λ/D/sup μ/-controllers

Podlubny, I., Dorcak, L., Kostial, I.

Year:

1997

Language:

english

File:

PDF, 567 KB

english, 1997

25

[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

26

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

27

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

28

Simulation of quantum electrons in disordered system of scatterers by path integrals and complex-valued Monte Carlo method

Filinov, V S, Podlubny, L I

Journal:

Physica Scripta

Year:

1995

Language:

english

File:

PDF, 397 KB

english, 1995

29

[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

30

[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

31

On Fractional PID Controllers: A Frequency Domain Approach

Vinagre, B.M., Podlubny, I., Dorcak, L., Feliu, V.

Journal:

IFAC Proceedings Volumes

Year:

2000

Language:

english

File:

PDF, 1.37 MB

english, 2000

32

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

33

The Coulomb explosion of charged drops

I.T. Iakubov, A.G. Khrapak, L.I. Podlubny, V.V. Pogosov

Journal:

Solid State Communications

Year:

1985

Language:

english

File:

PDF, 292 KB

english, 1985

34

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

35

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

36

Riesz potential and Riemann-Liouville fractional integrals and derivatives of Jacobi polynomials

Journal:

Applied Mathematics Letters

Year:

1997

Language:

english

File:

PDF, 291 KB

english, 1997

37

Least squares or least circles?

Ivo Petras, Igor Podlubny

Journal:

Year:

2010

Language:

english

File:

PDF, 450 KB

english, 2010

38

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

39

Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control

B. M. Vinagre, I. Petráš, I. Podlubny, Y. Q. Chen

Journal:

Nonlinear Dynamics

Year:

2002

Language:

english

File:

PDF, 124 KB

english, 2002

40

Modulatory influences of ventilatory disorders on electrical stability of the rat heart

P. Svorc, I. Podlubny

Journal:

Biomedicine & Pharmacotherapy

Year:

2002

Language:

english

File:

PDF, 101 KB

english, 2002

41

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

42

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

43

[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

44

[SpringerBriefs in Electrical and Computer Engineering] Distributed-Order Dynamic Systems ||

Jiao, Zhuang, Chen, YangQuan, Podlubny, Igor

Year:

2012

Language:

english

File:

PDF, 3.27 MB

english, 2012

45

[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

46

[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) - Fractional order control model of steel casting process

Skovranek, Tomas, Kukurugya, Jan, Podlubny, Igor, Terpak, Jan

Year:

2011

Language:

english

File:

PDF, 301 KB

english, 2011

47

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

48

[IEEE Second IEEE International Conference on Computational Cybernetics, 2004. ICCC 2004. - Vienna, Austria (Aug. 30 - Sept. 1, 2004)] Second IEEE International Conference on Computational Cybernetics, 2004. ICCC 2004. - Stability of linear time invariant systems with interval fractional orders and interval coefficients

Petras, I., YangQuan Chen,, Vinagre, B.M., Podlubny, I.

Year:

2004

Language:

english

File:

PDF, 1.08 MB

english, 2004

49

Least Squares or Least Circles?

Petras, Ivo, Podlubny, Igor

Journal:

Year:

2010

Language:

english

File:

PDF, 494 KB

english, 2010

50

Some properties of finite fourier transformations and their application to the summation of a class of trigonometric series

Podlubny, I., Srivastava, H. M.

Journal:

Integral Transforms and Special Functions

Year:

1999

Language:

english

File:

PDF, 295 KB

english, 1999

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