期刊文献+

区间时变细胞神经网络周期解的鲁棒指数稳定性

Periodic Solution and Global Robust Exponential Stability of Interval Time-varying Cellular Neural Networks with Delays
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摘要 本文研究一类区间时变扰动神经网络系统周期解的鲁棒指数稳定性.获得了一系列关于鲁棒指数稳定性的判据. The article studies the periodic solution and global robust exponential stability for CNNs with time-varying perturbations in the time-delayed state. A series of new criterions concerning the existence of the periodic solution and global robust exponential stability are obtained by employing the Young's inequality, Lyapunov functional and combine with some analysis techniques. At the same time, the global exponential stability of the equilibrium point of the system are also obtained. In addition, these results can be used to design globally stable neural networks and periodic oscillatory neural networks, and they are easy to be checked and be applied in practice.
出处 《湘南学院学报》 2004年第2期5-11,共7页 Journal of Xiangnan University
基金 国家自然科学基金项目(NO.10371034 NO.60373067) 教育部科学技术重点项目(NO.[2002]78) 湖南省教育厅科研项目(NO.03C009) 江苏省自然科学基金资助项目(NO.1999F0017M)
关键词 周期解 鲁棒指数稳定性 区间时变扰动神经网络 Pvoincaré映射 李亚普洛夫方法 细胞神经网络 periodic solution global robust exponential stability interval time-varying cellular neural networks poincar mapping Lyapunov functionals
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