Igor Podlubny

Best Publications

• Fractional Differential Equations

  Unknown

  20448
  Citations

• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

  I. Podlubny

  3281
  Citations

• Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems

  Yan Li;YangQuan Chen;Igor Podlubny

  1987
  Citations

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

  Yan Li;YangQuan Chen;Igor Podlubny

  1733
  Citations

• Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation

  Igor Podlubny;B. Nemcovej

  1142
  Citations

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

  Nicole Verheulpen Heymans;Igor Podlubny

  774
  Citations

• Analogue Realizations of Fractional-Order Controllers

  I. Podlubny;I. Petráš;B. M. Vinagre;P. O'Leary

  758
  Citations

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

  Igor Podlubny;Aleksei Chechkin;Tomas Skovranek;YangQuan Chen

  505
  Citations

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

  YangQuan Chen;Hyo-Sung Ahn;Igor Podlubny

  495
  Citations

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

  Yangquan Chen;Blas M. Vinagre;Igor Podlubny

  413
  Citations

• On fractional derivatives, fractional-order dynamic systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

  I. Podlubny;L. Dorcak;I. Kostial

  366
  Citations

• Review: On the fractional signals and systems

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

  342
  Citations

• 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

  336
  Citations

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

  YangQuan Chen;Hyo-Sung Ahn;I. Podlubny

  258
  Citations

• Modelling heat transfer in heterogeneous media using fractional calculus.

  Dominik Sierociuk;Andrzej Dzieliński;Grzegorz Sarwas;Ivo Petras

  257
  Citations

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

  Hyo-Sung Ahn;YangQuan Chen;Igor Podlubny

  238
  Citations

• On Fractional PID Controllers: A Frequency Domain Approach

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

  235
  Citations

• Diffusion process modeling by using fractional-order models

  Dominik Sierociuk;Tomas Skovranek;Michal Macias;Igor Podlubny

  202
  Citations

• The Laplace Transform Method for Linear Differential Equations of the Fractional Order

  Igor Podlubny

  187
  Citations

• Distributed-Order Dynamic Systems

  Zhuang Jiao;YangQuan Chen;Igor Podlubny

  186
  Citations