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Author ID: petras.ivo Recent zbMATH articles by "Petras, Ivo"
Published as: Petráš, Ivo; Petras, Ivo; Petráš, I.
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 1,176 times in 1,053 Documents Cited by Year
Fractional-order nonlinear systems. Modeling, analysis and simulation. Zbl 1228.34002
Petráš, Ivo
512
2011
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.
125
2002
Two direct Tustin discretization methods for fractional-order differentiator/integrator. Zbl 1051.93031
Vinagre, Blas M.; Chen, Yang Quan; Petráš, Ivo
76
2003
Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004
Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas
74
2013
Stability of fractional-order systems with rational orders: a survey. Zbl 1182.26017
Petráš, Ivo
71
2009
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110
Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q.
56
2002
Chaos in the fractional-order Volta’s system: modeling and simulation. Zbl 1176.34050
Petráš, Ivo
45
2009
Simulation of drug uptake in a two compartmental fractional model for a biological system. Zbl 1229.92043
Petráš, Ivo; Magin, Richard L.
42
2011
Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094
Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan
41
2013
Modeling and numerical analysis of fractional-order Bloch equations. Zbl 1211.65096
Petráš, Ivo
24
2011
Tuning and implementation methods for fractional-order controllers. Zbl 1269.93039
Petráš, Ivo
21
2012
Applications in control. Zbl 1410.93001
17
2019
A note on the fractional-order Volta’s system. Zbl 1221.34017
Petráš, Ivo
17
2010
Identification of parameters of a half-order system. Zbl 1393.94966
Petráš, Ivo; Sierociuk, Dominik; Podlubny, Igor
14
2012
Fractional Pais-Uhlenbeck oscillator. Zbl 1284.70035
Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Velasco, Maria Pilar
10
2012
Numerical solution of the fractional Euler-Lagrange’s equations of a thin elastica model. Zbl 1431.74020
Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo
5
2015
State space description of national economies: the V4 countries. Zbl 1452.62955
Petras, Ivo; Podlubny, Igor
5
2007
Fractional-order control systems: modelling and simulation. Zbl 1113.93303
Petras, Ivo; Dorcak, Lubomir
4
2003
An effective numerical method and its utilization to solution of fractional models used in bioengineering applications. Zbl 1216.92001
Petráš, Ivo
4
2011
Analogue realization of fractional-order dynamical systems. Zbl 1339.37091
Dorčák, L’ubomír; Valsa, Juraj; Gonzalez, Emmanuel; Terpák, Ján; Petráš, Ivo; Pivka, Ladislav
3
2013
Chaos in fractional-order population model. Zbl 1258.34103
Petráš, Ivo
3
2012
Conceptual design of a selectable fractional-order differentiator for industrial applications. Zbl 1305.93085
Gonzalez, Emmanuel A.; Dorčák, Ľubomír; Monje, Concepción A.; Valsa, Juraj; Caluyo, Felicito S.; Petráš, Ivo
2
2014
The fractional-order Lorenz-type systems: a review. Zbl 1503.34030
Petráš, Ivo
2
2022
Novel polarization index evaluation formula and fractional-order dynamics in electric motor insulation resistance. Zbl 1439.94113
Gonzalez, Emmanuel A.; Petráš, Ivo; Ortigueira, Manuel D.
1
2018
Measurement of para-xylene diffusivity in zeolites and analyzing desorption curves using the Mittag-Leffler function. Zbl 1339.93116
Zaman, Sharif F.; Baleanu, Dumitru; Petráš, Ivo
1
2016
Fractional calculus and its applications. Zbl 1356.26003
Petráš, Ivo
1
2013
The fractional-order Lorenz-type systems: a review. Zbl 1503.34030
Petráš, Ivo
2
2022
Applications in control. Zbl 1410.93001
17
2019
Novel polarization index evaluation formula and fractional-order dynamics in electric motor insulation resistance. Zbl 1439.94113
Gonzalez, Emmanuel A.; Petráš, Ivo; Ortigueira, Manuel D.
1
2018
Measurement of para-xylene diffusivity in zeolites and analyzing desorption curves using the Mittag-Leffler function. Zbl 1339.93116
Zaman, Sharif F.; Baleanu, Dumitru; Petráš, Ivo
1
2016
Numerical solution of the fractional Euler-Lagrange’s equations of a thin elastica model. Zbl 1431.74020
Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo
5
2015
Conceptual design of a selectable fractional-order differentiator for industrial applications. Zbl 1305.93085
Gonzalez, Emmanuel A.; Dorčák, Ľubomír; Monje, Concepción A.; Valsa, Juraj; Caluyo, Felicito S.; Petráš, Ivo
2
2014
Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004
Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas
74
2013
Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094
Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan
41
2013
Analogue realization of fractional-order dynamical systems. Zbl 1339.37091
Dorčák, L’ubomír; Valsa, Juraj; Gonzalez, Emmanuel; Terpák, Ján; Petráš, Ivo; Pivka, Ladislav
3
2013
Fractional calculus and its applications. Zbl 1356.26003
Petráš, Ivo
1
2013
Tuning and implementation methods for fractional-order controllers. Zbl 1269.93039
Petráš, Ivo
21
2012
Identification of parameters of a half-order system. Zbl 1393.94966
Petráš, Ivo; Sierociuk, Dominik; Podlubny, Igor
14
2012
Fractional Pais-Uhlenbeck oscillator. Zbl 1284.70035
Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Velasco, Maria Pilar
10
2012
Chaos in fractional-order population model. Zbl 1258.34103
Petráš, Ivo
3
2012
Fractional-order nonlinear systems. Modeling, analysis and simulation. Zbl 1228.34002
Petráš, Ivo
512
2011
Simulation of drug uptake in a two compartmental fractional model for a biological system. Zbl 1229.92043
Petráš, Ivo; Magin, Richard L.
42
2011
Modeling and numerical analysis of fractional-order Bloch equations. Zbl 1211.65096
Petráš, Ivo
24
2011
An effective numerical method and its utilization to solution of fractional models used in bioengineering applications. Zbl 1216.92001
Petráš, Ivo
4
2011
A note on the fractional-order Volta’s system. Zbl 1221.34017
Petráš, Ivo
17
2010
Stability of fractional-order systems with rational orders: a survey. Zbl 1182.26017
Petráš, Ivo
71
2009
Chaos in the fractional-order Volta’s system: modeling and simulation. Zbl 1176.34050
Petráš, Ivo
45
2009
State space description of national economies: the V4 countries. Zbl 1452.62955
Petras, Ivo; Podlubny, Igor
5
2007
Two direct Tustin discretization methods for fractional-order differentiator/integrator. Zbl 1051.93031
Vinagre, Blas M.; Chen, Yang Quan; Petráš, Ivo
76
2003
Fractional-order control systems: modelling and simulation. Zbl 1113.93303
Petras, Ivo; Dorcak, Lubomir
4
2003
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.
125
2002
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110
Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q.
56
2002
all top 5

Cited by 1,826 Authors

41 Machado, José António Tenreiro
30 Băleanu, Dumitru I.
18 Benchohra, Mouffak
18 Chen, Yangquan
14 Al-saedi, Ahmed Eid Salem
14 Gómez-Aguilar, José Francisco
13 Sierociuk, Dominik
12 Ahmad, Bashir
12 Macias, Michal
12 Petras, Ivo
12 Tavazoei, Mohammad Saleh
11 Malesza, Wiktor
10 Parovik, Roman Ivanovich
10 Trujillo, Juan J.
9 Čermák, Jan
9 Duarte-Mermoud, Manuel Armando
9 Li, Tianzeng
9 Liu, Fawang
9 Ntouyas, Sotiris K.
9 Owolabi, Kolade Matthew
9 Stanisławski, Rafał
8 Abbas, Said
8 Cao, Jinde
8 Furati, Khaled M.
8 Lopes, António M.
7 Agarwal, Ravi P.
7 Aguila-Camacho, Norelys
7 Alidousti, Javad
7 Charef, Abdelfatah
7 Escobar-Jiménez, Ricardo Fabricio
7 Fernández-Anaya, Guillermo
7 Fernandez, Arran
7 Gallegos, Javier A.
7 Henderson, Johnny Lee
7 Latawiec, Krzysztof J.
7 Liu, Heng
7 Podlubny, Igor
7 Shen, Yongjun
7 Sun, Zhizhong
7 Wang, Yong
7 Yang, Shaopu
6 Bettayeb, Maamar
6 Huong, Dinh Cong
6 Jafari, Mohsen A.
6 Kheiri, Hossein
6 Ladaci, Samir
6 Li, Yan
6 Lu, Junguo
6 Ouahab, Abdelghani
6 Radwan, Ahmed G.
6 Tuan, Hoang The
6 Zahra, Waheed K.
5 Balachandran, Krishnan
5 Bhrawy, Ali Hassan
5 Coronel-Escamilla, Antonio
5 Danca, Marius-Florin
5 Djennoune, Said
5 Gao, Guanghua
5 Haeri, Mohammad
5 Iyiola, Olaniyi Samuel
5 Jajarmi, Amin
5 Kisela, Tomáš
5 Lenka, Bichitra Kumar
5 Nieto Roig, Juan Jose
5 Ouannas, Adel
5 Pawłuszewicz, Ewa
5 Pisano, Alessandro
5 Rydel, Marek
5 Vinagre, Blas Manuel
5 Wang, Yu
5 Wei, Yiheng
5 Zeng, Caibin
4 Abdullah, Farah Aini
4 Agarwal, Praveen
4 Aghababa, Mohammad Pourmahmood
4 Azar, Ahmad Taher
4 Balthazar, José Manoel
4 Barbosa, Ramiro S.
4 Bauer, Waldemar
4 Chen, Guanrong
4 Chen, Yuquan
4 Cheng, Songsong
4 Diethelm, Kai
4 Edelman, Mark
4 Ezz-Eldien, Samer S.
4 Galhano, Alexandra M. S. F.
4 Gao, Zhe
4 Gong, Ping
4 Govindaraj, Venkatesan
4 Hamani, Samira
4 He, Jinman
4 Jahanshahi, Hadi
4 Kuntanapreeda, Suwat
4 Leung, Andrew Yee-Tak
4 Liu, Chongxin
4 Liu, Shutang
4 Maione, Guido
4 Maleknejad, Khosrow
4 Munoz-Pacheco, Jesus Manuel
4 Nechvátal, Luděk
...and 1,726 more Authors
all top 5

Cited in 174 Serials

72 Nonlinear Dynamics
71 Communications in Nonlinear Science and Numerical Simulation
67 Chaos, Solitons and Fractals
56 Fractional Calculus & Applied Analysis
54 Advances in Difference Equations
34 Journal of the Franklin Institute
30 Mathematical Methods in the Applied Sciences
27 Mathematical Problems in Engineering
23 Applied Mathematics and Computation
20 Computers & Mathematics with Applications
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Physica A
16 Applied Mathematical Modelling
16 Chaos
14 Circuits, Systems, and Signal Processing
14 Abstract and Applied Analysis
14 International Journal of Systems Science. Principles and Applications of Systems and Integration
13 Journal of Computational and Applied Mathematics
13 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
12 Complexity
11 Mathematics and Computers in Simulation
11 International Journal of Adaptive Control and Signal Processing
11 Discrete Dynamics in Nature and Society
10 Signal Processing
10 Numerical Algorithms
10 International Journal of Robust and Nonlinear Control
10 Asian Journal of Control
9 Journal of Vibration and Control
9 International Journal of Nonlinear Sciences and Numerical Simulation
9 Advances in Mathematical Physics
9 International Journal of Applied and Computational Mathematics
7 Journal of Computational Physics
7 Numerical Methods for Partial Differential Equations
7 Computational and Applied Mathematics
7 International Journal of Biomathematics
6 Archives of Control Sciences
6 International Journal of Applied Mathematics and Computer Science
6 Journal of Applied Mathematics and Computing
6 Boundary Value Problems
6 Chinese Journal of Physics (Taipei)
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Applied Numerical Mathematics
5 Mathematical Modelling of Natural Phenomena
5 Discrete and Continuous Dynamical Systems. Series S
5 Computational Methods for Differential Equations
4 Physics Letters. A
4 Automatica
4 Optimal Control Applications & Methods
4 Journal of Scientific Computing
4 Journal of Mathematical Sciences (New York)
4 Fractals
4 Mediterranean Journal of Mathematics
4 Journal of Applied Nonlinear Dynamics
4 Journal of Function Spaces
3 Calcolo
3 International Journal of Computer Mathematics
3 Soft Computing
3 Nonlinear Analysis. Modelling and Control
3 Nonlinear Analysis. Hybrid Systems
3 Journal of Nonlinear Science and Applications
3 Journal of Mathematics
3 AIMS Mathematics
2 International Journal of Modern Physics B
2 Acta Mechanica
2 International Journal of Control
2 Journal of Mathematical Analysis and Applications
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Optimization Theory and Applications
2 Meccanica
2 Numerical Functional Analysis and Optimization
2 Systems & Control Letters
2 Acta Applicandae Mathematicae
2 Computational Mechanics
2 Applied Mathematics Letters
2 Multidimensional Systems and Signal Processing
2 Journal of the Egyptian Mathematical Society
2 Filomat
2 Advances in Computational Mathematics
2 Journal of Applied Analysis
2 European Journal of Control
2 Differential Equations and Dynamical Systems
2 Nonlinear Analysis. Real World Applications
2 Matematicheskoe Modelirovanie
2 Entropy
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 Differential Equations and Applications
2 Journal of Control Science and Engineering
2 Arabian Journal for Science and Engineering
2 Journal of Theoretical Biology
2 Axioms
2 Mathematical Sciences
2 Mathematics
2 Journal of Mathematical Modeling
2 Open Mathematics
1 Applicable Analysis
1 International Journal of General Systems
1 International Journal of Systems Science
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
...and 74 more Serials
all top 5

Cited in 40 Fields

608 Ordinary differential equations (34-XX)
361 Systems theory; control (93-XX)
346 Real functions (26-XX)
156 Numerical analysis (65-XX)
137 Biology and other natural sciences (92-XX)
126 Dynamical systems and ergodic theory (37-XX)
120 Partial differential equations (35-XX)
64 Information and communication theory, circuits (94-XX)
45 Operator theory (47-XX)
40 Difference and functional equations (39-XX)
36 Mechanics of particles and systems (70-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
26 Integral equations (45-XX)
24 Special functions (33-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Statistical mechanics, structure of matter (82-XX)
17 Operations research, mathematical programming (90-XX)
16 Probability theory and stochastic processes (60-XX)
16 Computer science (68-XX)
16 Mechanics of deformable solids (74-XX)
10 Integral transforms, operational calculus (44-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Fluid mechanics (76-XX)
6 Measure and integration (28-XX)
5 Approximations and expansions (41-XX)
5 Optics, electromagnetic theory (78-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Statistics (62-XX)
4 Geophysics (86-XX)
3 Functions of a complex variable (30-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
1 Mathematical logic and foundations (03-XX)
1 General topology (54-XX)
1 Quantum theory (81-XX)
1 Mathematics education (97-XX)

Citations by Year