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Chaos Control and Synchronization of a Novel 5-D Hyperchaotic Lorenz System via Nonlinear Control

机译:基于非线性控制的新型5-D超混沌Lorenz系统的混沌控制与同步

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This paper is concerned with the problem of chaos control and synchronization for a novel 5-D hyperchaotic system, which is constructed by adding a feedback control to a 4-D hyperchaotic Lorenz system. Based on the Lyapunov stability theory and using nonlinear control technique with two different kinds of parameters (known and unknown parameters), and we designed control for each kind to perform control and synchronization of this system. However, in unknown parameters, we assume that Lyapunov function is always formed as , where ?is the identity matrix. While we focused on selecting a suitable Lyapunov functions candidate that ensured asymptotically global stability in known parameters. Then, nonlinear control technique is better than adaptive and active nonlinear control because it deals with known and unknown parameters as well as to the design of more than control compared with the rest of the controls. Moreover, numerical simulations are offered to show the strength of the proposed theoretical results.
机译:本文关注新型5-D超混沌系统的混沌控制和同步问题,该系统是通过向4-D超混沌Lorenz系统添加反馈控制来构造的。基于Lyapunov稳定性理论,并使用具有两种不同参数(已知和未知参数)的非线性控制技术,我们针对每种类型设计了控制以执行该系统的控制和同步。但是,在未知参数中,我们假设Lyapunov函数始终形成为,其中?是单位矩阵。虽然我们专注于选择合适的Lyapunov函数候选者,以确保已知参数的渐近全局稳定性。然后,非线性控制技术比自适应和主动非线性控制要好,因为它处理已知和未知参数,并且与其他控制相比,它还可以设计多个控制。此外,提供了数值模拟以显示所提出的理论结果的强度。

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