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首页> 外文会议>Chinese Control Conference >Delay-Dependent Stability Analysis for Uncertain Switched Hopfield Neural Networks with Discrete and Distributed Time-Varying Delays
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Delay-Dependent Stability Analysis for Uncertain Switched Hopfield Neural Networks with Discrete and Distributed Time-Varying Delays

机译：不确定切换Hopfield神经网络具有离散和分布时变延迟的延迟依赖性稳定性分析

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摘要

In this paper, the robust stability of a class of switched Hopfield neural systems with discrete and distributed time-varying delays is considered. The parameter uncertainties are assumed to be norm bounded. Firstly, sufficient conditions for exponential stability criteria of switched Hopfield neural systems are investigated for arbitrary switching signal with average dwell time; Secondly, some criteria are given to guarantee the uncertain switched Hopfield neural systems to be exponential stable for all admissible parametric uncertainties. These results are obtained based on Lyapunov's stability analysis via Krasovsky-Lyapunov's functionals and the related stability study is performed to obtain delay-dependent results. These conditions are expressed in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed theory.
机译：在本文中，考虑了一类具有离散和分布时变延迟的一类交换Hopfield神经系统的鲁棒稳定性。假设参数不确定性是常态的。首先，对具有平均停留时间的任意切换信号进行了对指数稳定性标准的充分条件。其次，给出了一些标准，以保证不确定的转换跳跃神经系统对于所有可接受的参数不确定性是指数稳定的。这些结果是基于Lyapunov的稳定性分析通过Krasovsky-Lyapunov的功能，进行相关稳定性研究以获得延迟依赖性结果。这些条件以线性矩阵不等式（LMI）表示。最后，提供了数值示例以说明所提出的理论的有效性。

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