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In the past studies, researchers have always produced new hyper-chaotic systems without explaining how to add the fourth equation in the 3D system. In this paper, we are interested in searching a link between the 3D and 4D system through which it designs a hyper-chaotic system 4D. We have constructed new hyper-chaotic systems by adding another state variable in the chaotic dynamical systems to the...
The idea of controlling and synchronizing chaotic systems refers to a process where in two or many chaotic systems starting from different initial conditions adjust a given property of their motion to a common behaviors. In this paper, the stable tracking control of continuous chaotic systems are studied and a new control method is proposed. Based on Lyapunov stability theory, an adaptive controller...
Synchronization of completely different chaotic systems via active controllers is investigated. Chaos synchronization using active controllers is generalized for different chaotic systems. Two completely different Lorenz and Rossler systems are considered for synchronization and numerical simulations are presented graphically to confirm the validity of the proposed method.
The present study compares the performances of several types of continuous time generalized predictive controllers with nonlinear bang bang controller for controlling chaotic systems. Continuous time approach of controller design proposed in this study often exposes the fundamentals of underlying control problem which are obscured by sampling and therefore offers significant advantages over discrete...
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