...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Abstract and applied analysis >Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions
【24h】

Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions

机译：具有混合时变时滞和不连续激活函数的区间神经网络的鲁棒几乎周期动力学

获取原文
   

获取外文期刊封面封底 >>

       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The robust almost periodic dynamical behavior isinvestigated for interval neural networks with mixed time-varyingdelays and discontinuous activation functions. Firstly, based on thedefinition of the solution in the sense of Filippov for differentialequations with discontinuous right-hand sides and the differentialinclusions theory, the existence and asymptotically almostperiodicity of the solution of interval network system are proved. Secondly, by constructing appropriate generalized Lyapunovfunctional and employing linear matrix inequality (LMI) techniques,a delay-dependent criterion is achieved to guarantee the existence,uniqueness, and global robust exponential stability of almostperiodic solution in terms of LMIs. Moreover, as special cases, theobtained results can be used to check the global robust exponentialstability of a unique periodic solution/equilibrium fordiscontinuous interval neural networks with mixed time-varyingdelays and periodic/constant external inputs. Finally, anillustrative example is given to demonstrate the validity of thetheoretical results.
机译：研究了具有混合时变时滞和不连续激活函数的区间神经网络的鲁棒几乎周期性动力学行为。首先，基于Filippov意义上具有不连续右手边的微分方程的解的定义和微分包含理论，证明了区间网络系统解的存在性和渐近概周期性。其次，通过构造适当的广义Lyapunov函数并采用线性矩阵不等式（LMI）技术，获得了依赖时滞的准则，以保证关于LMI的概周期解的存在性，唯一性和全局鲁棒指数稳定性。此外，作为特殊情况，获得的结果可用于检查具有混合时变时滞和周期/常数外部输入的不连续区间神经网络的唯一周期解/平衡的全局鲁棒指数稳定性。最后，通过一个例子说明理论结果的正确性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号