Igor Podlubny
Igor Podlubny
Professor of Process Control, BERG Faculty, Technical University of Kosice, Slovakia
Verified email at tuke.sk - Homepage
Cited by
Cited by
Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications
I Podlubny
Academic Press, San Diego - New York - London, 1999
Fractional-order systems and PI/sup/spl lambda//D/sup/spl mu//-controllers
I Podlubny
IEEE Transactions on Automatic Control 44 (1), 208-214, 1999
Geometric and physical interpretation of fractional integration and fractional differentiation
I Podlubny
Fractional Calculus and Applied Analysis 5 (4), 367–386, 2002
Mittag–Leffler stability of fractional order nonlinear dynamic systems
Y Li, YQ Chen, I Podlubny
Automatica 45 (8), 1965-1969, 2009
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability
Y Li, YQ Chen, I Podlubny
Computers & Mathematics with Applications 59 (5), 1810-1821, 2010
Analogue realizations of fractional-order controllers
I Podlubny, I Petráš, BM Vinagre, P O'leary, Ľ Dorčák
Nonlinear dynamics 29 (1-4), 281-296, 2002
Some approximations of fractional order operators used in control theory and applications
BM Vinagre, I Podlubny, A Hernandez, V Feliu
Fractional calculus and applied analysis 3 (3), 231-248, 2000
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
N Heymans, I Podlubny
Rheologica Acta 45 (5), 765-771, 2006
Matrix approach to discrete fractional calculus II: partial fractional differential equations
I Podlubny, A Chechkin, T Skovranek, YQ Chen, BM Vinagre
Journal of Computational Physics 228 (8), 3137-3153, 2009
Continued fraction expansion approaches to discretizing fractional order derivatives—an expository review
YQ Chen, BM Vinagre, I Podlubny
Nonlinear Dynamics 38 (1-4), 155-170, 2004
Fractional-Order Systems and Fractional-Order Controllers
I Podlubny
UEF-03-94, Inst. Exp. Phys., Slovak Acad. Sci., 1994
On fractional derivatives, fractional-order dynamic systems and PI/sup/spl lambda//D/sup/spl mu//-controllers
I Podlubny, L Dorcak, I Kostial
Proceedings of the 36th IEEE Conference on Decision and Control 5, 4985-4990, 1997
The Laplace transform method for linear differential equations of the fractional order
I Podlubny
arXiv preprint funct-an/9710005, 1997
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control
BM Vinagre, I Petras, I Podlubny, YQ Chen
Nonlinear Dynamics 29 (1), 269-279, 2002
Matrix approach to discrete fractional calculus
I Podlubny
Fractional calculus and applied analysis 3 (4), 359-386, 2000
Robust stability check of fractional order linear time invariant systems with interval uncertainties
YQ Chen, HS Ahn, I Podlubny
IEEE International Conference Mechatronics and Automation, 2005 1, 210-215, 2005
On the fractional signals and systems
R Magin, MD Ortigueira, I Podlubny, J Trujillo
Signal Processing 91 (3), 350-371, 2011
Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
HS Ahn, YQ Chen, I Podlubny
Applied Mathematics and Computation 187 (1), 27-34, 2007
On fractional PID controllers: A frequency domain approach
B Vinagre, I Podlubny, L Dorcak, V Feliu
Past, present and future of PID control: IFAC Workshop on Digital Control …, 2000
Distributed--Order Dynamic Systems
Z Jiao, YQ Chen, I Podlubny
Springer, New York - London - Heidelberg, 2012
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