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 128 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. Beschi, M.; Padula, F.; Visioli, A.: The generalised isodamping approach for robust fractional PID controllers design (2017)
  3. Bettayeb, Maamar; Mansouri, Rachid; Al-Saggaf, Ubaid; Mehedi, Ibrahim Mustafa: Smith predictor based fractional-order-filter PID controllers design for long time delay systems (2017)
  4. Hassan, Fazilah; Zolotas, Argyrios: Impact of fractional order methods on optimized tilt control for rail vehicles (2017)
  5. 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)
  6. Tenreiro Machado, J.A.; Kiryakova, Virginia: Historical survey: the chronicles of fractional calculus (2017)
  7. Al-Saggaf, U.M.; Mehedi, I.M.; Mansouri, R.; Bettayeb, M.: State feedback with fractional integral control design based on the Bode’s ideal transfer function (2016)
  8. Baranowski, Jerzy; Bauer, Waldemar; Zagórowska, Marta; Piątek, Paweł: On digital realizations of non-integer order filters (2016)
  9. Fergani, Nadir; Charef, Abdelfatah: Process step response based fractional $\operatornamePI^\lambda\operatornameD^\mu$ controller parameters tuning for desired closed loop response (2016)
  10. Ibrahim, Rabha W.; Jalab, Hamid A.; Gani, Abdullah: Entropy solution of fractional dynamic cloud computing system associated with finite boundary condition (2016)
  11. Idiri, Ghania; Djennoune, Saïd; Bettayeb, Maamar: Solving fixed final time fractional optimal control problems using the parametric optimization method (2016)
  12. Lazarević, Mihailo P.; Tzekis, Panagiotis: Robust second-order $PD^\alpha$ type iterative learning control for a class of uncertain fractional order singular systems (2016)
  13. 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)
  14. Soukkou, Ammar; Boukabou, Abdelkrim; Leulmi, Salah: Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems (2016)
  15. Victor, Stéphane; Melchior, Pierre; Malti, Rachid; Oustaloup, Alain: Robust motion planning for a heat rod process (2016)
  16. Fedele, Giuseppe; Ferrise, Andrea: Periodic disturbance rejection for fractional-order dynamical systems (2015)
  17. 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)
  18. Machado, J.Tenreiro: Numerical calculation of the left and right fractional derivatives (2015)
  19. Mesquine, F.; Hmamed, A.; Benhayoun, M.; Benzaouia, A.; Tadeo, F.: Robust stabilization of constrained uncertain continuous-time fractional positive systems (2015)
  20. Tenreiro Machado, J.A.: Generalized convolution (2015)

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