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首页> 外文期刊>International Journal of Engineering Mathematics >Robust Adaptive Exponential Synchronization of Two Different Stochastic Perturbed Chaotic Systems with Structural Perturbations
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Robust Adaptive Exponential Synchronization of Two Different Stochastic Perturbed Chaotic Systems with Structural Perturbations

机译：具有结构摄动的两个不同随机摄动混沌系统的鲁棒自适应指数同步

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摘要

The robust adaptive exponential synchronization problem of stochastic chaotic systems with structural perturbations is investigated in mean square. The stochastic disturbances are assumed to be Brownian motions that act on the slave system and the norm-bounded uncertainties exist in all parameters after decoupling. The stochastic disturbances could reflect more realistic dynamical behaviors of the coupled chaotic system presented within a noisy environment. By using a combination of the Lyapunov functional method, the robust analysis tool, the stochastic analysis techniques, and adaptive control laws, we derive several sufficient conditions that ensure the coupled chaotic systems to be robustly exponentially synchronized in the mean square for all admissible parameter uncertainties. This approach cannot only make the outputs of both master and slave systems reachH∞synchronization with the passage of time between both systems but also attenuate the effects of the perturbation on the overall error system to a prescribed level. The main results are shown to be general enough to cover many existing ones reported in the literature.
机译：研究了具有结构扰动的随机混沌系统的鲁棒自适应指数同步问题。随机扰动假定为作用于从动系统的布朗运动，并且解耦后所有参数中存在范数界的不确定性。随机扰动可能反映了在嘈杂环境中呈现的耦合混沌系统的更现实的动力学行为。通过结合使用Lyapunov函数方法，鲁棒分析工具，随机分析技术和自适应控制律，我们得出了几个足以确保耦合混沌系统对于所有可容许参数不确定性均方根中鲁棒指数同步的条件。 。这种方法不仅使主系统和从系统的输出都随着时间的流逝达到H∞同步，而且还将扰动对整个误差系统的影响衰减到规定的水平。结果表明，主要结果足以涵盖文献中报道的许多现有结果。

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