Abstract
In this paper, a new memristive chaotic system is designed, analyzed, tested, and proposed. An adaptive control synchronization mechanism for both master and slave chaotic systems is also designed. The adaptive control law of this mechanism is derived based on the Lyapunov theory. A single parameter in the slave system has been assumed to be unknown. As the parameters of the master and slave are asymptotically matched, the unknown slave parameters will be identified according to the master’s parameters. The proposed system is used in a secure communication system. The achieved results prove a simple system implementation with a high security of data transmission.
Highlights
In recent years, the memristor device has been used as a fourth element in addition to the main three ones that construct electronic circuits
The memristor can be used in many applications, such as in signal processing, nonlinear oscillators design, adaptive control systems, and chaotic systems [6]
The purpose of the designed adaptivesynchronization synchronization technique thethe new memristive chaotic adaptive techniqueofof new memristive chaotic systems is to be used in secure communication schemes.The
Summary
The memristor device has been used as a fourth element in addition to the main three ones that construct electronic circuits. The critical role for constructing secure communications schemes is the synchronization mechanism [10]. It can happen between two identical systems, of which one is a master and the driven one is a slave [11,12]. The control law was designed by an adaptive control method for updating the uncertain parameter on the slave side with respect to the master side This scenario achieves an adaptive synchronization mechanism.
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