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Igor Podlubny

Active 1996–2025

Also published as
Igor Podlubný
40
Papers
31,957
Citations
27
h-index
29
i10-index

Citations

Citations per year for Igor Podlubny1923: 1 citations1975: 2 citations1990: 3 citations1997: 1 citations1999: 2 citations2000: 5 citations2001: 16 citations2002: 25 citations2003: 38 citations2004: 46 citations2005: 61 citations2006: 128 citations2007: 98 citations2008: 149 citations2009: 276 citations2010: 269 citations2011: 404 citations2012: 462 citations2013: 504 citations2014: 521 citations2015: 552 citations2016: 566 citations2017: 647 citations2018: 632 citations2019: 901 citations2020: 805 citations2021: 739 citations2022: 567 citations2023: 476 citations2024: 442 citations2025: 296 citations2026: 40 citations1924–1974: no citations, so these years are not shown1976–1989: no citations, so these years are not shown1991–1996: no citations, so these years are not shown1998: no citations, so this year is not shown

Citation sources

Countries

World map of the countries and regions citing this authorChina: 3,100 citing papers, 27.6% of this breakdownIndia: 799 citing papers, 7.1% of this breakdownUnited States: 726 citing papers, 6.5% of this breakdownIran: 554 citing papers, 4.9% of this breakdownSaudi Arabia: 459 citing papers, 4.1% of this breakdownPoland: 428 citing papers, 3.8% of this breakdownTürkiye: 401 citing papers, 3.6% of this breakdownEgypt: 253 citing papers, 2.2% of this breakdownItaly: 231 citing papers, 2.1% of this breakdownFrance: 214 citing papers, 1.9% of this breakdownSpain: 205 citing papers, 1.8% of this breakdownAustralia: 204 citing papers, 1.8% of this breakdown
0%27.6%Other 32.6%

Institutions

Fields

  • Mathematics44.8%
  • Engineering27.1%
  • Computer Science14.5%
  • Physics and Astronomy7.8%
  • Medicine2.5%
  • Decision Sciences0.6%
  • Other2.7%

Topics

  • Fractional Differential Equations Solutions19.4%
  • Advanced Control Systems Design9.1%
  • Nonlinear Differential Equations Analysis5%
  • Differential Equations and Numerical Methods5%
  • Neural Networks Stability and Synchronization4.5%
  • Chaos control and synchronization3.6%
  • Other53.4%

Coauthors

All papers

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  1. Fractional Differential Equations

    Authors: Igor Podlubný - 2025 cited by 20,501

  2. Mittag-Leffler stability of fractional order nonlinear dynamic systems

    Authors: Yan Li, YangQuan Chen, Igor Podlubný - Automatica, Autom. 2009 cited by 1,602

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

    Authors: Yan Li, YangQuan Chen, Igor Podlubný - Computers & Mathematics with Applications, Comput. Math. Appl. 2009 cited by 1,582

  4. Fractional-order systems and PIλDμ-controllers

    Authors: Igor Podlubny - IEEE Transactions on Automatic Control, IEEE Trans. Autom. Control. 1999 cited by 3,063

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

    Authors: Igor Podlubny, Aleksei V. Chechkin, Tomas Skovranek, Yangquan Chen, Blas M. Vinagre Jara - Journal of Computational Physics, J. Comput. Phys. 2009 cited by 459

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

    Authors: Nicole Heymans, Igor Podlubný - Rheologica Acta 2005 cited by 653

  7. On the fractional signals and systems

    Authors: Richard L. Magin, Manuel Duarte Ortigueira, Igor Podlubny, Juan J. Trujillo - Signal Processing, Signal Process. 2010 cited by 270

  8. Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation

    Authors: Igor Podlubný - ArXiv.org 2001 cited by 887

  9. Diffusion process modeling by using fractional-order models

    Authors: Dominik Sierociuk, Tomas Skovranek, Michal Macias, Igor Podlubny, Ivo Petrás, Andrzej Dzielinski, Pawel Ziubinski - Applied Mathematics and Computation, Appl. Math. Comput. 2014 cited by 168

  10. Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives?an Expository Review

    Authors: YangQuan Chen, Blas M. Vinagre, Igor Podlubný - Nonlinear Dynamics 2004 cited by 331

  11. Modelling heat transfer in heterogeneous media using fractional calculus

    Authors: Dominik Sierociuk, Andrzej Dzieliński, Grzegorz Sarwas, Ivo Petráš, Igor Podlubný, Tomáš Škovránek - Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences 2013 cited by 235

  12. Finite energy Lyapunov function candidate for fractional order general nonlinear systems

    Authors: Yan Li, Daduan Zhao, YangQuan Chen, Igor Podlubny, Chenghui Zhang - Communications in Nonlinear Science and Numerical Simulation, Commun. Nonlinear Sci. Numer. Simul. 2019 cited by 43

  13. Analogue Realizations of Fractional-Order Controllers

    Authors: Igor Podlubný, Ivo Petráš, Blas M. Vinagre, Patrick O’Leary, Ľ. Dorčák - Nonlinear Dynamics 2002 cited by 621

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

    Authors: Blas M. Vinagre, Ivo Petráš, Igor Podlubný, YangQuan Chen - Nonlinear Dynamics 2002 cited by 231

  15. Distributed-Order Dynamic Systems - Stability, Simulation, Applications and Perspectives

    Authors: Zhuang Jiao, YangQuan Chen, Igor Podlubny - Springer briefs in electrical and computer engineering 2012 cited by 180

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

    Authors: Igor Podlubny - Scientometrics 2005 cited by 100

  17. On fractional derivatives, fractional-order dynamic systems and PI/sup λ/D/sup μ/-controllers

    Authors: Igor Podlubný, Ľ. Dorčák, I. Koštial - Conference on Decision and Control, Proceedings of the 36th IEEE Conference on Decision and Control 2002 cited by 200

  18. Identification of Parameters of a Half-Order System

    Authors: Ivo Petrás, Dominik Sierociuk, Igor Podlubny - IEEE Transactions on Signal Processing, IEEE Trans. Signal Process. 2012 cited by 63

  19. Experimental Evidence of Variable-Order Behavior of Ladders and Nested Ladders

    Authors: Dominik Sierociuk, Igor Podlubny, Ivo Petrás - IEEE Transactions on Control Systems Technology, IEEE Trans. Control. Syst. Technol. 2012 cited by 104

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

    Authors: Igor Podlubny, Katarina Kassayova - Research Evaluation 2006 cited by 33

  21. Isoclinal matrices and numerical solution of fractional differential equations

    Authors: Igor Podlubny, M. Kacenak - European Control Conference (ECC) 2001 cited by 32

  22. Solitary travelling auto-waves in fractional reaction-diffusion systems

    Authors: Bohdan Datsko, V. V. Gafiychuk, Igor Podlubný - Communications in Nonlinear Science and Numerical Simulation, Commun. Nonlinear Sci. Numer. Simul. 2014 cited by 25

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

    Authors: Yangquan Chen, Hyo-Sung Ahn, Igor Podlubny - IEEE International Conference Mechatronics and Automation, Signal Process. 2006 cited by 202

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

    Authors: Hyo-Sung Ahn, Yangquan Chen, Igor Podlubny - Applied Mathematics and Computation, Appl. Math. Comput. 2006 cited by 183