フォロー
Igor Podlubny
タイトル
引用先
引用先
年
Fractional Differential Equations
I Podlubny
https://www.elsevier.com/books/fractional-differential-equations/podlubny …, 1999
42085*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
41401999
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
17372010
Mittag–Leffler stability of fractional order nonlinear dynamic systems
Y Li, YQ Chen, I Podlubny
Automatica 45 (8), 1965-1969, 2009
17112009
Geometric and physical interpretation of fractional integration and fractional differentiation
I Podlubny
Fractional Calculus and Applied Analysis 5 (4), 367-386, 2002
16512002
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
9592000
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
N Heymans, I Podlubny
Rheologica Acta 45, 765-771, 2006
8232006
Analogue realizations of fractional-order controllers
I Podlubny, I Petráš, BM Vinagre, P O'Leary, Ľ Dorčák
Nonlinear dynamics 29, 281-296, 2002
7982002
Fractional-order systems and fractional-order controllers
I Podlubny
Institute of Experimental Physics, Slovak Academy of Sciences, Kosice 12 (3 …, 1994
5921994
Matrix approach to discrete fractional calculus II: partial fractional differential equations
I Podlubny, A Chechkin, T Skovranek, YQ Chen, BMV Jara
Journal of Computational Physics 228 (8), 3137-3153, 2009
5122009
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
438*1997
Continued fraction expansion approaches to discretizing fractional order derivatives—an expository review
YQ Chen, BM Vinagre, I Podlubny
Nonlinear Dynamics 38, 155-170, 2004
4102004
The Laplace transform method for linear differential equations of the fractional order
I Podlubny
arXiv preprint funct-an/9710005, 1997
3821997
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control
BM Vinagre, I Petráš, I Podlubny, YQ Chen
Nonlinear Dynamics 29, 269-279, 2002
3412002
Matrix approach to discrete fractional calculus
I Podlubny
Fractional calculus and applied analysis 3 (4), 359-386, 2000
3402000
On the fractional signals and systems
R Magin, MD Ortigueira, I Podlubny, J Trujillo
Signal Processing 91 (3), 350-371, 2011
3252011
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
2692005
Modelling heat transfer in heterogeneous media using fractional calculus
D Sierociuk, A Dzieliński, G Sarwas, I Petras, I Podlubny, T Skovranek
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2013
2492013
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
2392007
On fractional PID controllers: a frequency domain approach
BM Vinagre, I Podlubny, L Dorcak, V Feliu
IFAC Proceedings Volumes 33 (4), 51-56, 2000
2342000
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