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Abstract: This Letter deals with the synchronization problem of a class of neural networks with/without time delays. Based on the drive–response concept and the Lyapunov stability theorem, a delay-independent and decentralized control law is derived to achieve the exponential synchronization. Two illustrative examples are given to demonstrate the effectiveness of the presented synchronization scheme. [Copyright &y& Elsevier]

Abstract: This study addresses the synchronization of chaotic gyros with unknown parameters and external disturbance via adaptive sliding mode control. To achieve synchronization, a switching surface is adopted such that it becomes easy to ensure the stability of the error dynamics in the sliding mode. Then an adaptive sliding mode controller (ASMC) is derived to guarantee the occurrence of the sliding motion even when the parameters of the drive and response gyros are fully unknown. Numerical simulations are presented to verify that the synchronization can be achieved by using this ASMC. [Copyright &y& Elsevier]

Abstract: In this paper, the evolutionary programming (EP)-based proportional-integral-derivative (PID) control design is presented for synchronization of chaotic systems with application in secure communication. A PID controller is developed via the EP algorithm. By using the EP algorithm, optimal control gains in PID controlled chaotic systems are derived such that a performance index of integrated absolute error (IAE) is as minimal as possible. Moreover, as an application, the proposed EP-based PID control scheme is then applied to a chaotic secure communication system. To verify the system performance, basic electronic components containing OPA, resistor and capacitor elements are used to implement the proposed PID-based chaotic secure communication system. Finally, both simulation results and the circuit experiments demonstrate the proposed PID scheme’s success in the communication application. [Copyright &y& Elsevier]

Abstract: We present a systematic design procedure for synchronization of neural networks subject to time-varying delays and sector nonlinearity in the control input. Based on the drive-response concept and the Lyapunov stability theorem, a memoryless decentralized control law is proposed which guarantees exponential synchronization even when input nonlinearity is present. The supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed control scheme. A four-dimensional Hopfield neural network with time-varying delays is presented as the illustrative example to demonstrate the effectiveness of the proposed synchronization scheme. [Copyright &y& Elsevier]