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  1. Synchronization of a Class of Chaotic Systems with Different Dimensions.Jiming Zheng & Juan Li - 2021 - Complexity 2021:1-15.
    In this paper, two scaling matrices are used to research the synchronization of different dimensional chaotic systems with unknown parameters. Firstly, the definition of synchronization of chaotic systems with different dimensions is introduced. Secondly, based on Lyapunov stability theorem and adaptive control method, an adaptive feedback hybrid controller and parameter adaptive laws are designed to realize synchronization of uncertain chaotic systems with different dimensions. Finally, three numerical experiments are carried out to verify the effectiveness of the proposed method.
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  • Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control.J. Humberto Pérez-Cruz - 2018 - Complexity 2018:1-19.
    Standard adaptive control is the preferred approach for stabilization and synchronization of chaotic systems when the structure of such systems is a priori known but the parameters are unknown. However, in the presence of unmodeled dynamics and/or disturbance, this approach is not effective anymore due to the drift of the parameter estimations, which eventually causes the instability of the closed-loop system. In this paper, a robustifying term, which consists of a saturation function, is used to avoid this problem. The robustifying (...)
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  • The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output.Runzi Luo & Haipeng Su - 2018 - Complexity 2018:1-8.
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