Page 461 - Mathematical Techniques of Fractional Order Systems

446 Mathematical Techniques of Fractional Order Systems

Said, L.A., Ismail, S.M., Radwan, A.G., Madian, A.H., El-Yazeed, M.F.A., Soliman, A.M.,
2016a. On the optimization of fractional order low-pass filters. Circuits Systems Signal
Processing 35 (6), 2017 2039.
Said, L.A., Radwan, A.G., Madian, A.H., Soliman, A.M., 2016b. Two-port two impedances frac-
tional order oscillators. Microelectron. J. 55, 40 52.
Said, L.A., Radwan, A.G., Madian, A.H., Soliman, A.M., 2017. Three fractional-order-
capacitors-based oscillators with controllable phase and frequency. J. Circuits Systems
Computers 26 (10), 1750160.
Saxena, A., Tandon, A., Saxena, A., Rana, K.P.S., Kumar, V., 2017. On the terminal full order
sliding mode control of uncertain chaotic systems. In: Azar, A.T., Vaidyanathan, S.,
Ouannas, A. (Eds.), Fractional Order Control and Synchronization of Chaotic Systems.
Springer International Publishing, Cham, pp. 387 430.
Shah, D.K., Chaurasiya, R.B., Vyawahare, V.A., Pichhode, K., Patil, M.D., 2017. FPGA imple-
mentation of fractional-order chaotic systems. AEU Int. J. Electr. Communicat. 78,
245 257.
Shahiri, T., Ranjbar, A., Ghaderi, R., Karami, M., Hosseinnia, S., 2012. Adaptive backstepping
chaos synchronization of fractional order coullet systems with mismatched parameters.
arXiv preprint arXiv 1206.2026.
Shen, S., Zhou, P., 2016. Synchronization of the fractional-order brushless dc motors chaotic
system. J. Control Sci. Eng. 2016.
Sheu, L.J., Chen, W.C., Chen, Y.C., Weng, W.T., 2010. A two-channel secure communication
using fractional chaotic systems. World Acad. Sci. Eng. Technol. 65, 1057 1061.
Singh, S., Azar, A.T., Ouannas, A., Zhu, Q., Zhan, W., Na, J., 2017. Sliding mode control tech-
nique for multi-switching synchronization of chaotic systems. In 9th International
Conference on Modelling, Identification and Control (ICMIC 2017), July 10-12, 2017,
Kunming, China.
Soliman, N.S., Said, L.A., Azar, A.T., Madian, A.H., Radwan, A.G., Ounnas, A., 2017.
Fractional controllable multi-scroll v-shape attractor with parameters effect. In 6th
International Conference on Modern Circuits and Systems Technologies (MOCAST) (pp.
1 4).
Soltan, A., Radwan, A.G., Soliman, A.M., 2014. Ccii based fractional filters of different orders.
J. Adv. Res. 5 (2), 157 164.
Soltan, A., Radwan, A.G., Soliman, A.M., 2015. Fractional order sallen-key and khn filters: sta-
bility and poles allocation. Circuits Systems Signal Processing 34 (5), 1461 1480.
Sprott, J.C., 2011. A proposed standard for the publication of new chaotic systems. Int. J.
Bifurcation and Chaos 21 (09), 2391 2394.
Srivastava, M., Ansari, S.P., Agrawal, S.K., Das, S., Leung, A.Y.T., 2014. Anti-synchronization
between identical and non-identical fractional-order chaotic systems using active control
method. Nonlinear Dynam. 76 (2), 905 914.
Stavrinides, S.G., Anagnostopoulos, A.N., 2013. The route from synchronization to desynchroni-
zation of chaotic operating circuits and systems. Understanding Complex Systems. Springer
Berlin Heidelberg, New York, pp. 229 275.
Sundarapandian, V., Pehlivan, I., 2012. Analysis, control, synchronization, and circuit design of
a novel chaotic system. Math. Computer Modelling 55 (7), 1904 1915.
Tang, J., Zou, C., Zhao, L., 2012. Chaos synchronization of fractional order time-delay chen sys-
tem and its application in secure communication. J. Convergence Inf. Technol. 7 (2),
124 131.