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Delay-dependent H_∞ filtering for complex dynamical networks with time-varying delays in nonlinear function and network couplings

机译：具有非线性函数和网络耦合时变时滞的复杂动力网络的时滞相关H_∞滤波

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摘要

This paper investigates the H_∞ filtering problem for a class of continuous-time complex dynamical networks with time-varying delays in nonlinear function and network couplings. The aim of the addressed problem is to design a H_∞ filter against the exogenous disturbances, such that the filtering error system of complex dynamical networks is asymptotically stable and guarantees the desired H_∞ performance attenuation level. Based on the Lyapunov stability theory, suitable Lyapunov-Krasovskii functional is constructed in terms of Kronecker product, furthermore, new delay-dependent sufficient stability conditions are derived in terms of linear matrix inequalities by using reciprocal convex combination approach to obtain less conservative results. Finally, numerical examples are exploited to demonstrate the effectiveness of the proposed theoretical results.
机译：本文研究了一类具有非线性函数和网络耦合时变时滞的连续时间复杂动力网络的H_∞滤波问题。解决的问题的目的是设计一种针对外部干扰的H_∞​​滤波器，以使复杂动态网络的滤波误差系统渐近稳定，并确保所需的H_∞性能衰减水平。基于Lyapunov稳定性理论，根据Kronecker乘积构造了合适的Lyapunov-Krasovskii泛函，此外，通过使用倒凸组合方法，根据线性矩阵不等式推导了新的时延依赖的充分稳定性条件，从而获得了较少的保守结果。最后，利用数值例子来证明所提出的理论结果的有效性。

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