论文标题

使用Hamilton-Jacobi-Bellman(HJB)技术在多级网络中同步

Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique

论文作者

Njougouo, Thierry, Camargo, Victor, Louodop, Patrick, Ferreira, Fernando F, Talla, Pierre K., Cerdeira, Hilda A.

论文摘要

本文介绍了Rössler混乱振荡器的多级网络的最佳控制和同步问题。使用Hamilton-Jacobi-Bellman(HJB)技术,设计具有三州变量反馈的最佳控制定律,使网络中所有Rössler振荡器的轨迹在每个级别中都可以最佳地同步。此外,我们提供数值模拟,以证明一个和三个网络的案例拟议方法的有效性。获得了MATLAB和PSPICE结果之间的完美相关性,从而允许对我们设计的控制器进行实验验证,并显示了理论结果的有效性。

This paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton-Jacobi-Bellman (HJB) technique, the optimal control law with three-state variables feedback is designed such that the trajectories of all the Rössler oscillators in the network are optimally synchronized in each level. Furthermore, we provide numerical simulations to demonstrate the effectiveness of the proposed approach for the cases of one and three networks. A perfect correlation between the MATLAB and the PSPICE results was obtained, thus allowing the experimental validation of our designed controller and shows the effectiveness of the theoretical results.

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