Page 381 - Mathematical Techniques of Fractional Order Systems
P. 381
372 Mathematical Techniques of Fractional Order Systems
Srivastava, M., Das, S., Leung, A.Y.T., 2013b. Hybrid phase synchronization between identical
and non-identical three dimensional chaotic systems using active control method. Nonlinear
Dynam. 73 (4), 2261 2272.
Sun, H.H., Abdelwahed, A.A., Onaral, B., 1984. Linear approximation for transfer functions
with a pole of fractional power. IEEE Trans. Autom. Control 29 (5), 441 444.
Tolba, M.F., AbdelAty, A.M., Said, L.A., Elwakil, A.S., Azar, A.T., Madian, A.H., et al., 2017a.
FPGA Realization of Caputo and Gru ¨nwald-Letnikov Operators. The 6th International
Conference on Modern Circuits and Systems Technologies (MOCAST), 4-6 May 2017
Thessaloniki Greece.
Tolba, M.F., AbdelAty, A.M., Soliman, N.S., Said, L.A., Madian, A.H., Azar, A.T., et al.,
2017b. FPGA implementation of two fractional order chaotic systems, Int. J. Electr.
Commun., 28. pp. 162 172.
Vaidyanathan, S., Sampath, S., Azar, A.T., 2015a. Global chaos synchronisation of identical cha-
otic systems via novel sliding mode control method and its application to Zhu system. Int. J.
Model. Identif. Control (IJMIC) 23 (1), 92 100.
Vaidyanathan, S., Azar, A.T., Rajagopal, K., Alexander, P., 2015b. Design and SPICE imple-
mentation of a 12-term novel hyperchaotic system and its synchronization via active control
(2015). Int. J. Model. Identif. Control (IJMIC) 23 (3), 267 277.
Vaidyanathan, S., Idowu, B.A., Azar, A.T., 2015c. Backstepping controller design for the global
chaos synchronization of Sprott’s Jerk Systems. In: Azar, A.T., Vaidyanathan, S. (Eds.),
Chaos Modeling and Control Systems Design, Studies in Computational Intelligence, Vol.
581. Springer-Verlag GmbH, Berlin/Heidelberg, pp. 39 58. Available from: https://doi.org/
10.1007/978-3-319-13132-0_3.
Vaidyanathan, S., Azar, A.T., 2015a. Anti-synchronization of identical chaotic systems using
sliding mode control and an application to vaidyanathan-madhavan chaotic systems.
In: Azar, A.T., Zhu, Q. (Eds.), Advances and Applications in Sliding Mode Control systems,
Studies in Computational Intelligence book Series, Vol. 576. Springer-Verlag GmbH,
Berlin/Heidelberg, pp. 527 547. Available from: https://doi.org/10.1007/978-3-319-11173-
5_19.
Vaidyanathan, S., Azar, A.T., 2015b. Hybrid synchronization of identical chaotic systems using
sliding mode control and an application to vaidyanathan chaotic systems. In: Azar, A.T.,
Zhu, Q. (Eds.), Advances and Applications in Sliding Mode Control systems, Studies in
Computational Intelligence book Series, Vol. 576. Springer-Verlag GmbH, Berlin/
Heidelberg, pp. 549 569. Available from: https://doi.org/10.1007/978-3-319-11173-5_20.
Vaidyanathan, S., Azar, A.T., 2015c. Analysis, control and synchronization of a nine-term 3-D
novel chaotic system. In: Azar, A.T., Vaidyanathan, S. (Eds.), Chaos Modeling and Control
Systems Design, Studies in Computational Intelligence, Vol. 581. Springer-Verlag GmbH,
Berlin/Heidelberg, pp. 3 17. Available from: https://doi.org/10.1007/978-3-319-13132-0_1.
Vaidyanathan, S., Azar, A.T., 2015d. Analysis and control of a 4-D novel hyperchaotic system.
In: Azar, A.T., Vaidyanathan, S. (Eds.), Chaos Modeling and Control Systems Design,
Studies in Computational Intelligence, Vol. 581. Springer-Verlag GmbH, Berlin/Heidelberg,
pp. 19 38. Available from: https://doi.org/10.1007/978-3-319-13132-0_2.
Vaidyanathan, S., Azar, A.T., 2016a. Takagi-Sugeno Fuzzy Logic Controller for Liu-Chen Four-
Scroll Chaotic System. International Journal of Intelligent Engineering Informatics 4 (2),
135 150.
Vaidyanathan, S., Azar, A.T., 2016b. Dynamic Analysis, adaptive feedback control and synchro-
nization of an eight-term 3-D novel chaotic system with three quadratic nonlinearities,