Synchronization of chaotic systems has been explored extensively in recent years.1) In addition to complete synchronization between two identical chaotic systems,2) various notions of chaotic synchronization have evolved.1) Among them, the concept of generalized synchronization (GS), which refers to a situation in which the states of two systems connected each other via a continuous mapping, ha...

In this paper, we discuss the synchronization and anti-synchronization of two identical chaotic T-systems. The adaptive and nonlinear control schemes are used for the synchronization and anti-synchronization. The stability of these schemes is derived by Lyapunov Stability Theorem. Firstly, the synchronization and anti-synchronization are applied to systems with known parameters, then to systems...

Abstract. It is well known that an alone linear controller is difficult to control a chaotic system, because intensive nonlinearities exist in such system. Meanwhile, depending closely on a precise mathematical modeling of the system and high computational complexity, model predictive control has its inherent drawback in controlling nonlinear systems. In this paper, a unified linear timeinvaria...

This paper addresses the problem of coexistence synchronization and anti-synchronization (CSAS) for a class switched chaotic systems by adaptive control method, where system is realized unified under arbitrary switching signal. Firstly, necessary sufficient conditions CSAS are proposed from two perspectives, one analyzing parity expression, other decomposing system. Secondly, according to obtai...

A novel function-link fuzzy cerebelarmodel-articulation-controller (CMAC) is developed in this study. It is a generalization of a fuzzy neural network and of a conventional CMAC. Then, a control system comprising a function-link fuzzy CMAC and a fuzzy compensator is proposed for multi-input multi-output (MIMO) nonlinear chaotic systems. The function-link fuzzy CAMC is used to mimic an ideal con...

Many chaotic oscillators have coherent phase dynamics but strong fluctuations in the amplitudes. At variance with such a behavior, homoclinic chaos is characterized by quite regular spikes but strong fluctuation in their time intervals due to the chaotic recurrence to a saddle point. We study influences of noise on homoclinic chaos. We demonstrate both numerically and experimentally on a CO2 la...

Systems Architecture is a generic discipline to handle objects (existing or to be created) called systems, in a way that supports reasoning about the structural properties of these objects. Systems Architecture is a response to the conceptual and practical difficulties of the description and the design of complex systems. Systems Architecture is a generic discipline to handle objects (existin...

In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...