Global Asymptotic Stability of Switched Neural Networks with Delays

Lu Zhenyu; Li Kai; Li Yan

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Global Asymptotic Stability of Switched Neural Networks with Delays

机译：时滞切换神经网络的全局渐近稳定性

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This paper investigates the global asymptotic stability of a class of switched neural networks with delays. Several new criteria ensuring global asymptotic stability in terms of linear matrix inequalities (LMIs) are obtained via Lyapunov-Krasovskii functional. And here, we adopt the quadratic convex approach, which is different from the linear and reciprocal convex combinations that are extensively used in recent literature. In addition, the proposed results here are very easy to be verified and complemented. Finally, a numerical example is provided to illustrate the effectiveness of the results.

机译：本文研究了一类带时滞的开关神经网络的全局渐近稳定性。通过Lyapunov-Krasovskii泛函，获得了一些新的准则，以线性矩阵不等式（LMI）来确保全局渐近稳定性。在这里，我们采用二次凸方法，这与最近文献中广泛使用的线性和倒凸组合不同。此外，此处提出的结果非常易于验证和补充。最后，提供了一个数值示例来说明结果的有效性。

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《Mathematical Problems in Engineering》 |2015年第25期|717513.1-717513.11|共11页
作者
Lu Zhenyu; Li Kai; Li Yan;
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作者单位

Nanjing Univ Informat Sci & Technol, Coll Elect & Informat Engn, Nanjing 210044, Jiangsu, Peoples R China;

Nanjing Univ Informat Sci & Technol, Coll Elect & Informat Engn, Nanjing 210044, Jiangsu, Peoples R China;

Huazhong Agr Univ, Coll Sci, Wuhan 430070, Peoples R China;

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1. Global robust asymptotic stability analysis of uncertain switched Hopfield neural networks with time delay in the leakage term [J] . P. Balasubramaniam, V. Vembarasan, R. Rakkiyappan Neural computing & applications . 2012,第7期

机译：泄漏项存在时滞的不确定切换Hopfield神经网络的全局鲁棒渐近稳定性分析
2. Global O(t(-alpha)) stability and global asymptotical periodicity for a non-autonomous fractional-order neural networks with time-varying delays [J] . Chen Boshan, Chen Jiejie Neural Networks: The Official Journal of the International Neural Network Society . 2016,第Null期

机译：具有时变时滞的非自治分数阶神经网络的全局O（t（-alpha））稳定性和全局渐近周期
3. Analysis of global O(t(-alpha)) stability and global asymptotical periodicity for a class of fractional-order complex-valued neural networks with time varying delays [J] . Rakkiyappan R., Sivaranjani R., Velmurugan G., Neural Networks: The Official Journal of the International Neural Network Society . 2016,第Null期

机译：一类具有时变时滞的分数阶复值神经网络的全局O（t（-alpha））稳定性和全局渐近周期分析
4. An Improved Delay-Dependent Globally Asymptotically Stability Criterion for the Static Neural Networks with Time-Varying Delay [C] . Kai Mao, Bao Shi, Shudong Zhang International Conference on Modelling, Simulation and Applied Mathematics . 2015

机译：具有时变延迟的静态神经网络的改进延迟依赖性全局渐近稳定性标准
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

机译：具有时变时间延迟的内在稳定动态网络和交换网络的指数稳定性
6. Global asymptotic stability of complex-valued neural networks with additive time-varying delays [O] . K. Subramanian, P. Muthukumar 2017

机译：附加时变时滞复数值神经网络的全局渐近稳定性
7. An Improved Delay-Dependent Globally Asymptotically Stability Criterion for the Static Neural Networks with Time-Varying Delay [O] . Kai Mao, Bao Shi, Shudong Zhang 2015

机译：具有时变延迟的静态神经网络的改进延迟依赖性全局渐近稳定性标准

Global Asymptotic Stability of Switched Neural Networks with Delays

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