in this paper, the synchronization of a new hyperchaotic complex system based on t-s fuzzy model is proposed. first the considered hyperchaotic system is represented by t-s fuzzy model equivalently. then by using the parallel distributed compensation (pdc) method and by applying linear system theory and exact linearization (el) technique, a fuzzy controller is designed to realize the synchroniz...

In this paper, the adaptive control design is investigated for chaos synchronization of two identical hyperchaotic Liu systems. First, an law with inputs proposed based on Lyapunov stability theory. Secondly, other schemes are obtained a further analysis law. Finally, numerical simulations presented to validate effectiveness and correctness these results.

Many methods have been proposed to synchronize chaotic systems. The most widely used methods are the continuous synchronization schemes [Pecora & Carroll, 1990], where the driving signals are transmitted continuously to the driven systems. The other synchronization schemes are impulsive synchronization [Panas et al., 1998] and selective synchronization [Itoh et al., 2000]. In an impulsive synch...

In this paper time-delay effects on the master–slave synchronization scheme are investigated. Sufficient conditions for master–slave synchronization of Lur’e systems are presented for a known time-delay in the master and slave systems. A delay-dependent synchronization criterion is given based upon a new Lyapunov–Krasovskii function. The derived criterion is a sufficient condition for global as...

Under the existence of system uncertainties and external disturbances, complete synchronization and anti-synchronization between two identical or different hyperchaotic systems are investigated in the paper. Firstly, an active control is used to eliminate the nonlinear part of the error. Then the sliding mode controller is designed based on suitable sliding surface. After that the adaptive upda...

This study introduces a new continuous time differential system, which contains ten terms with three quadratic nonlinearities. The system can demonstrate hyperchaotic, chaotic, quasi-periodic, and periodic behaviors for its different parameter values. All theoretical numerical analysis are investigated to confirm the complex hyperchaotic behavior of our proposed model using many tools that incl...

Conservative chaos systems have been investigated owing to their special advantages. Taking symmetry as a starting point, this study proposes class of five-dimensional(5D) conservative hyperchaotic by constructing generalized Hamiltonian system. The proposed can different types coordinate-transformation and time-reversal symmetries. Also, the constructed are in both volume energy. analyzed, cha...