Page 355 - Mathematical Techniques of Fractional Order Systems
P. 355
Multiswitching Synchronization Chapter | 11 345
Vaidyanathan, S., Sampath, S., Azar, A.T., 2015c. 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 23 (1), 92 100.
Vaidyanathan, S., Azar, A.T., Ouannas, A., 2017a. An eight-term 3-d novel chaotic system with
three quadratic nonlinearities, its adaptive feedback control and synchronization. In: Azar,
A.T., Vaidyanathan, S., Ouannas, A. (Eds.), Fractional Order Control and Synchronization
of Chaotic Systems. Springer International Publishing, Cham, pp. 719 746.
Vaidyanathan, S., Azar, A.T., Ouannas, A., 2017b. Hyperchaos and adaptive control of a novel
hyperchaotic system with two quadratic nonlinearities. In: Azar, A.T., Vaidyanathan, S.,
Ouannas, A. (Eds.), Fractional Order Control and Synchronization of Chaotic Systems.
Springer International Publishing, Cham, pp. 773 803.
Vaidyanathan, S., Zhu, Q., Azar, A.T., 2017c. Adaptive control of a novel nonlinear double con-
vection chaotic system. In: Azar, A.T., Vaidyanathan, S., Ouannas, A. (Eds.), Fractional
Order Control and Synchronization of Chaotic Systems. Springer International Publishing,
Cham, pp. 357 385.
Wang, F., Liu, C., 2007. Synchronization of unified chaotic system based on passive control.
Physica D: Nonlinear Phenomena 225 (1), 55 60.
Wang, X.-Y., Sun, P., 2011. Multi-switching synchronization of chaotic system with adaptive
controllers and unknown parameters. Nonlinear Dynam. 63 (4), 599 609.
Wang, Z., Volos, C., Kingni, S.T., Azar, A.T., Pham, V.-T., 2017. Four-wing attractors in a
novel chaotic system with hyperbolic sine nonlinearity. Optik Int. J. Light Electr. Opt.
131, 1071 1078.
Wen, X.-J., Wu, Z.-M., Lu, J.-G., 2008. Stability analysis of a class of nonlinear fractional-order
systems. IEEE Trans. Circuits Systems II: Express Briefs 55 (11), 1178 1182.
Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A., 1985. Determining lyapunov exponents
from a time series. Phys. D: Nonlinear Phen. 16 (3), 285 317.
Yang, T., Chua, L.O., 1997. Impulsive stabilization for control and synchronization of chaotic
systems : theory and application to secure communication. IEEE Trans. Circuits Syst. I:
Fundam. Theory Applicat. 44 (10), 976 988.
Zhang, H., Ma, X.-K., Liu, W.-Z., 2004. Synchronization of chaotic systems with parametric
uncertainty using active sliding mode control. Chaos Solitons Fractals 21 (5), 1249 1257.
Zhang, H., Lewis, F.L., Das, A., 2011. Optimal design for synchronization of cooperative sys-
tems: state feedback, observer and output feedback. IEEE Trans. Automatic Control 56 (8),
1948 1952.
Zhu, Q., Azar, A.T., 2015. Complex system modelling and control through intelligent soft com-
putations. Studies in Fuzziness and Soft Computing, Berlin, Germany.