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H_∞ cluster synchronization and state estimation for complex dynamical networks with mixed time delays

机译：具有混合时滞的复杂动态网络的H_∞簇同步和状态估计

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摘要

The paper investigates H_∞ cluster synchronization and state estimation for complex dynamical networks with mixed time delays. A novel concept of H_∞ cluster synchronization is proposed to quantify against the exogenous disturbance of the complex networks. Based on the Lyapunov stability theory, H_∞ cluster synchronization criteria are derived in the form of linear matrix inequalities. The solvability of derived conditions depends not only on the attenuation level but also the initial values of complex networks. The H_∞ state estimation is studied for the same complex networks with the purpose of designing a state estimator to estimate the network states through available output measurements. Finally, two numerical examples are provided to demonstrate the effectiveness of the obtained theoretical results.
机译：本文研究了混合时滞复杂动态网络的H_∞簇同步和状态估计。提出了一种新颖的H_∞集群同步概念，以对复杂网络的外源干扰进行量化。基于Lyapunov稳定性理论，以线性矩阵不等式的形式导出H_∞簇同步准则。导出条件的可解性不仅取决于衰减水平，还取决于复杂网络的初始值。针对相同的复杂网络，研究了H_∞状态估计，目的是设计一个状态估计器，以通过可用的输出测量来估计网络状态。最后，提供了两个数值示例来证明所获得的理论结果的有效性。

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