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Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control

机译:具有时变时滞的非自治混沌系统的延迟反馈控制同步

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In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some new sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation. The designed controller ensures that the synchronization of non-autonomous chaotic systems are proposed via delayed feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria.
机译:在本文中,我们通过延迟反馈控制研究了具有时变时滞的非自治混沌系统的同步。通过使用Riccati微分方程方法,Lyapunov-Krasovskii泛函不等式技术的组合,以标准Riccati微分方程的解的形式,为误差系统的指数稳定性提出了一些新的充分条件。设计的控制器可确保通过延迟反馈控制提出非自治混沌系统的同步。进行了数值模拟,以说明这些同步标准的有效性。

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