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.

References in zbMATH (referenced in 100 articles )

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  1. Benzaouia, Abdellah; El Hajjaji, Ahmed: Stabilization of continuous-time fractional positive T-S fuzzy systems by using a Lyapunov function (2017)
  2. Li, Zhuo; Liu, Lu; Dehghan, Sina; Chen, Yangquan; Xue, Dingyü: A review and evaluation of numerical tools for fractional calculus and fractional order controls (2017)
  3. Baranowski, Jerzy; Bauer, Waldemar; Zagórowska, Marta; Piątek, Paweł: On digital realizations of non-integer order filters (2016)
  4. Ibrahim, Rabha W.; Jalab, Hamid A.; Gani, Abdullah: Entropy solution of fractional dynamic cloud computing system associated with finite boundary condition (2016)
  5. Shahiri, Masoomeh; Noei, Abolfazl Ranjbar; Karami, Mohammad Reza; Ghaderi, Reza: Tuning method for fractional complex order controller using standardized $k$-chart: application to PEMFC control (2016)
  6. Soukkou, Ammar; Boukabou, Abdelkrim; Leulmi, Salah: Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems (2016)
  7. Victor, Stéphane; Melchior, Pierre; Malti, Rachid; Oustaloup, Alain: Robust motion planning for a heat rod process (2016)
  8. Fedele, Giuseppe; Ferrise, Andrea: Periodic disturbance rejection for fractional-order dynamical systems (2015)
  9. Lamara, Abderrahim; Colin, Guillaume; Lanusse, Patrick; Charlet, Alain; Nelson-Gruel, Dominique; Chamaillard, Yann: Pollutant reduction of a turbocharged diesel engine using a decentralized MIMO CRONE controller (2015)
  10. Machado, J.Tenreiro: Numerical calculation of the left and right fractional derivatives (2015)
  11. Mesquine, F.; Hmamed, A.; Benhayoun, M.; Benzaouia, A.; Tadeo, F.: Robust stabilization of constrained uncertain continuous-time fractional positive systems (2015)
  12. Tenreiro Machado, J.A.: Generalized convolution (2015)
  13. Feliu-Batlle, Vicente; Castillo-García, Fernando J.: On the robust control of stable minimum phase plants with large uncertainty in a time constant. A fractional-order control approach (2014)
  14. Padula, Fabrizio; Visioli, Antonio: Inversion-based feedforward and reference signal design for fractional constrained control systems (2014)
  15. Yousfi, Najah; Melchior, Pierre; Lanusse, Patrick; Derbel, Nabil; Oustaloup, Alain: Decentralized CRONE control of nonsquare multivariable systems in path-tracking design (2014)
  16. Castillo-Garcia, F.J.; San Millan-Rodriguez, A.; Feliu-Batlle, V.; Sanchez-Rodriguez, L.: Fractional-order $PI$ control of first order plants with guaranteed time specifications (2013)
  17. Chetoui, Manel; Thomassin, Magalie; Malti, Rachid; Aoun, Mohamed; Najar, Slaheddine; Abdelkrim, Mohamed Naceur; Oustaloup, Alain: New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models (2013)
  18. Lanusse, Patrick; Malti, Rachid; Melchior, Pierre: CRONE control system design toolbox for the control engineering community: tutorial and case study (2013)
  19. Lopes, António M.; Tenreiro Machado, J.A.: Root locus practical sketching rules for fractional-order systems (2013)
  20. Machado, J.Tenreiro: Fractional calculus: application in modeling and control (2013)

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