CRONE swMATH ID: 7382 Software Authors: Michel Alexeline, Rachid Malti, Patrick Lanusse, Pierre Melchior, Alain Oustaloup Description: The CRONE (R) Toolbox, developed by the CRONE research group, is a Matlab and Simulink Toolbox dedicated to fractional calculus. The original theoretical and mathematical concepts, developed in the group, are used in the toolbox. During the last ten years, the CRONE Toolbox has been used by industrial partners in many applications. The last two decades have witnessed a growing interest in fractional derivatives and their applications. The aim of the CRONE group is to share its developments and its knowledge with scientists, researchers, and engineers world wide. For any specific developments, the CRONE group welcomes all collaborations. The CRONE group members are also ready to visit you for giving tutorial lectures with practice. Homepage: http://archive.ims-bordeaux.fr/CRONE/toolbox/pages/accueilSITE.php?guidPage=home_page Dependencies: Matlab Related Software: Ninteger; DFOC; sysdfod; Matlab; Fractional Order Chaotic Systems; Robotics; FOMCON; ML; FOTF Toolbox; ma2dfc; FIT; FOC; FSST; FOPID; ora_foc; fderiv; GEATbx; Sprott's Software; Simulink; CONTSID Cited in: 188 Publications all top 5 Cited by 280 Authors 28 Machado, José António Tenreiro 17 Oustaloup, Alain 14 Lanusse, Patrick 13 Sabatier, Jocelyn 10 Melchior, Pierre 9 Chen, Yangquan 8 Haeri, Mohammad 8 Tavazoei, Mohammad Saleh 7 Charef, Abdelfatah 7 Maione, Guido 7 Malti, Rachid 6 Bettayeb, Maamar 6 Farges, Christophe 5 Moze, Mathieu 5 Vinagre, Blas Manuel 4 Aguila-Camacho, Norelys 4 Aoun, Mohamed 4 Djennoune, Said 4 Duarte-Mermoud, Manuel Armando 4 Lopes, António M. 4 Mansouri, Rachid 4 Moreau, Xavier 4 Padula, Fabrizio 4 Sá da Costa, J. M. G. 4 Trigeassou, Jean-Claude 4 Valério, Duarte 4 Visioli, Antonio 3 Baños, Alfonso 3 Baranowski, Jerzy 3 Benhadj Braiek, Naceur 3 Bouafoura, Mohamed Karim 3 Castillo-García, Fernando J. 3 Cervera, Joaquín 3 Feliu, Vicente 3 Galhano, Alexandra M. S. F. 3 Gallegos, Javier A. 3 Kaczorek, Tadeusz 3 Ladaci, Samir 3 Lino, Paolo 3 Liu, Lu 3 Monje, Concepción Alicia 3 Muñoz-Vázquez, Aldo-Jonathan 3 Petras, Ivo 3 Podlubny, Igor 3 Victor, Stéphane 2 Abbassi, Hadj Ahmed 2 Abdelkrim, Mohamed Naceur 2 Altet, O. 2 Barbosa, Ramiro S. 2 Benzaouia, Abdellah 2 Costa, António C. 2 Derbel, Nabil 2 Djouambi, Abdelbaki 2 Dorcak, Lubomir 2 Dzieliński, Andrzej 2 Elwakil, Ahmed S. 2 Feliu-Batlle, V. 2 Feytout, Benjamin 2 Gherfi, Kaddour 2 Gracia, Serge 2 Guillemard, Franck 2 Jafari, Saeid 2 Jesus, Isabel S. 2 Le Méhauté, Alain J. Y. 2 Li, Yan 2 Loiseau, Jean Jacques 2 Maamar, Bettayeb 2 Maamri, Nezha 2 Martinez-Guerra, Rafael 2 Mehedi, Ibrahim Mustafa 2 Najar, Slaheddine 2 Nivanen, Laurent 2 Ostalczyk, Piotr 2 Parra-Vega, Vicente 2 Poty, Alexandre 2 Quelhas, Maria Dulce 2 Rachid, Mansouri 2 Radwan, Ahmed G. 2 Said, Djennoune 2 Sajewski, Łukasz 2 Sánchez-Orta, Anand 2 Sheng, Hu 2 Siami, Milad 2 Sierociuk, Dominik 2 Soliman, Ahmed M. 2 Trejo-Zúñiga, Iván 2 Xue, Dingyu 2 Yousfi, Najah 2 Zagórowska, Marta 2 Zhang, Shuo 1 Abrashov, Sergey 1 Aïoun, François 1 Allagui, Mohamed Ali 1 Ansermino, J. Mark 1 Antoniadis, Anestis 1 Arabzadeh Jafari, Adeleh 1 Aribi, Asma 1 Babakhani, Azizollah 1 Badie, Th. 1 Balachandran, Krishnan ...and 180 more Authors all top 5 Cited in 51 Serials 22 Nonlinear Dynamics 16 Communications in Nonlinear Science and Numerical Simulation 14 Fractional Calculus & Applied Analysis 10 Computers & Mathematics with Applications 10 Asian Journal of Control 8 Signal Processing 7 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Automatica 5 European Journal of Control 5 Journal of Vibration and Control 5 International Journal of Applied Mathematics and Computer Science 4 Journal of the Franklin Institute 4 Mathematical Problems in Engineering 3 International Journal of Control 3 Physics Letters. A 3 Chaos, Solitons and Fractals 3 Mathematics and Computers in Simulation 3 Circuits, Systems, and Signal Processing 3 Applied Mathematical Modelling 3 Advances in Difference Equations 2 International Journal of Systems Science 2 Bulletin of the Polish Academy of Sciences. Technical Sciences 2 Applied Mathematics and Computation 2 Systems & Control Letters 2 International Journal of Adaptive Control and Signal Processing 2 Archives of Control Sciences 2 Complexity 2 Abstract and Applied Analysis 1 International Journal of Modern Physics B 1 Journal of Computational Physics 1 Theoretical and Mathematical Physics 1 International Journal of Circuit Theory and Applications 1 Journal of Optimization Theory and Applications 1 Kybernetes 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical and Computer Modelling 1 Automation and Remote Control 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Boundary Value Problems 1 Journal of Applied Nonlinear Dynamics 1 Studies in Systems, Decision and Control 1 SpringerBriefs in Applied Sciences and Technology 1 Advances in Industrial Control all top 5 Cited in 32 Fields 129 Systems theory; control (93-XX) 74 Real functions (26-XX) 65 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Information and communication theory, circuits (94-XX) 12 Mechanics of particles and systems (70-XX) 11 Numerical analysis (65-XX) 9 Operations research, mathematical programming (90-XX) 9 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 5 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year