Igor Podlubny
1996–2025 年に発表
- 別表記
- Igor Podlubný
- 40
- 論文数
- 31,957
- 被引用数
- 27
- h 指数
- 29
- i10 指数
被引用数
引用元
国・地域
機関
分野
- Mathematics44.8%
- Engineering27.1%
- Computer Science14.5%
- Physics and Astronomy7.8%
- Medicine2.5%
- Decision Sciences0.6%
- その他2.7%
トピック
- 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%
- その他53.4%
共著者
- YangQuan Chen13
- Ivo Petrás9
- Blas M. Vinagre7
- Dominik Sierociuk5
- Tomas Skovranek5
- Yan Li4
- Andrzej Dzielinski3
- Hyo-Sung Ahn2
- Jana Pócsova2
- Michal Macias2
- Ľ. Dorčák2
- Aleksei V. Chechkin1
- Andrea Mojzisova1
- Blas M. Vinagre Jara1
- Bohdan Datsko1
- Changpin Li1
- Chenghui Zhang1
- Daduan Zhao1
- George E. Karniadakis1
- Grzegorz Sarwas1
- I. Koštial1
- Jan S. Hesthaven1
- Juan J. Trujillo1
- Katarina Kassayova1
全論文
- Fractional Differential Equations
著者: Igor Podlubný - 2025 被引用: 20,501
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
著者: Yan Li, YangQuan Chen, Igor Podlubný - Automatica, Autom. 2009 被引用: 1,602
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
著者: Yan Li, YangQuan Chen, Igor Podlubný - Computers & Mathematics with Applications, Comput. Math. Appl. 2009 被引用: 1,582
- Fractional-order systems and PIλDμ-controllers
著者: Igor Podlubny - IEEE Transactions on Automatic Control, IEEE Trans. Autom. Control. 1999 被引用: 3,063
- Matrix approach to discrete fractional calculus II: Partial fractional differential equations
著者: Igor Podlubny, Aleksei V. Chechkin, Tomas Skovranek, Yangquan Chen, Blas M. Vinagre Jara - Journal of Computational Physics, J. Comput. Phys. 2009 被引用: 459
- Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
著者: Nicole Heymans, Igor Podlubný - Rheologica Acta 2005 被引用: 653
- On the fractional signals and systems
著者: Richard L. Magin, Manuel Duarte Ortigueira, Igor Podlubny, Juan J. Trujillo - Signal Processing, Signal Process. 2010 被引用: 270
- Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
著者: Igor Podlubný - ArXiv.org 2001 被引用: 887
- Diffusion process modeling by using fractional-order models
著者: Dominik Sierociuk, Tomas Skovranek, Michal Macias, Igor Podlubny, Ivo Petrás, Andrzej Dzielinski, Pawel Ziubinski - Applied Mathematics and Computation, Appl. Math. Comput. 2014 被引用: 168
- Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives?an Expository Review
著者: YangQuan Chen, Blas M. Vinagre, Igor Podlubný - Nonlinear Dynamics 2004 被引用: 331
- Modelling heat transfer in heterogeneous media using fractional calculus
著者: 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 被引用: 235
- Finite energy Lyapunov function candidate for fractional order general nonlinear systems
著者: Yan Li, Daduan Zhao, YangQuan Chen, Igor Podlubny, Chenghui Zhang - Communications in Nonlinear Science and Numerical Simulation, Commun. Nonlinear Sci. Numer. Simul. 2019 被引用: 43
- Analogue Realizations of Fractional-Order Controllers
著者: Igor Podlubný, Ivo Petráš, Blas M. Vinagre, Patrick O’Leary, Ľ. Dorčák - Nonlinear Dynamics 2002 被引用: 621
- Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control
著者: Blas M. Vinagre, Ivo Petráš, Igor Podlubný, YangQuan Chen - Nonlinear Dynamics 2002 被引用: 231
- Distributed-Order Dynamic Systems - Stability, Simulation, Applications and Perspectives
著者: Zhuang Jiao, YangQuan Chen, Igor Podlubny - Springer briefs in electrical and computer engineering 2012 被引用: 180
- Comparison of scientific impact expressed by the number of citations in different fields of science
著者: Igor Podlubny - Scientometrics 2005 被引用: 100
- On fractional derivatives, fractional-order dynamic systems and PI/sup λ/D/sup μ/-controllers
著者: Igor Podlubný, Ľ. Dorčák, I. Koštial - Conference on Decision and Control, Proceedings of the 36th IEEE Conference on Decision and Control 2002 被引用: 200
- Identification of Parameters of a Half-Order System
著者: Ivo Petrás, Dominik Sierociuk, Igor Podlubny - IEEE Transactions on Signal Processing, IEEE Trans. Signal Process. 2012 被引用: 63
- Experimental Evidence of Variable-Order Behavior of Ladders and Nested Ladders
著者: Dominik Sierociuk, Igor Podlubny, Ivo Petrás - IEEE Transactions on Control Systems Technology, IEEE Trans. Control. Syst. Technol. 2012 被引用: 104
- Towards a better list of citation superstars: compiling a multidisciplinary list of highly cited researchers
著者: Igor Podlubny, Katarina Kassayova - Research Evaluation 2006 被引用: 33
- Isoclinal matrices and numerical solution of fractional differential equations
著者: Igor Podlubny, M. Kacenak - European Control Conference (ECC) 2001 被引用: 32
- Solitary travelling auto-waves in fractional reaction-diffusion systems
著者: Bohdan Datsko, V. V. Gafiychuk, Igor Podlubný - Communications in Nonlinear Science and Numerical Simulation, Commun. Nonlinear Sci. Numer. Simul. 2014 被引用: 25
- Robust stability check of fractional order linear time invariant systems with interval uncertainties
著者: Yangquan Chen, Hyo-Sung Ahn, Igor Podlubny - IEEE International Conference Mechatronics and Automation, Signal Process. 2006 被引用: 202
- Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
著者: Hyo-Sung Ahn, Yangquan Chen, Igor Podlubny - Applied Mathematics and Computation, Appl. Math. Comput. 2006 被引用: 183
