Design disturbance attenuating controller for memristive recurrent neural networks with mixed time-varying delays

被引:0
作者
Jianying Xiao
Shouming Zhong
Fang Xu
机构
[1] Southwest Petroleum University,School of Sciences
[2] University of Electronic Science and Technology of China,School of Mathematical Sciences
来源
Advances in Difference Equations | / 2018卷
关键词
Memristor; Disturbance attenuating control; Filippov; Time-varying delays; Lyapunov–Razumikhin Theorem;
D O I
暂无
中图分类号
学科分类号
摘要
This paper investigates the design of disturbance attenuating controller for memristive recurrent neural networks (MRNNs) with mixed time-varying delays. By applying the combination of differential inclusions, set-valued maps and Lyapunov–Razumikhin, a feedback control law is obtained in the simple form of linear matrix inequality (LMI) to ensure disturbance attenuation of memristor-based neural networks. Finally, a numerical example is given to show the effectiveness of the proposed criteria.
引用
收藏
相关论文
共 156 条
[31]  
Shen Y.(2018)Extended dissipative conditions for memristive neural networks with multiple time delays Appl. Math. Comput. 323 145-163
[32]  
Wen S.P.(2008)New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays Appl. Math. Comput. 205 417-427
[33]  
Zeng Z.G.(2011)Reciprocally convex approach to stability of systems with time-varying delays Automatica 47 235-238
[34]  
Huang T.W.(2018)Topological ergodic shadowing and chaos on uniform spaces Int. J. Bifurc. Chaos 28 16-26
[35]  
Chen Y.R.(2017)Topological dynamics of Zadeh’s extension on upper semi-continuous fuzzy sets Int. J. Bifurc. Chaos 27 1040-1045
[36]  
Xiao J.Y.(2017)On the large deviations theorem of weaker types Int. J. Bifurc. Chaos 27 185-199
[37]  
Zhong S.M.(2005)F-sensitivity and multi-sensitivity of hyperspatial dynamical systems J. Math. Anal. Appl. 429 313-331
[38]  
Li Y.T.(2018)Further results on stabilization of chaotic systems based on fuzzy memory sampled-data control IEEE Trans. Fuzzy Syst. 26 1259-1274
[39]  
Xu F.(2017)Non-fragile sampled-data robust synchronization of uncertain delayed chaotic Lurie systems with randomly occurring controller gain fluctuation ISA Trans. 66 859-870
[40]  
Wu A.L.(2016)Some novel approaches on state estimation of delayed neural networks Inf. Sci. 372 308-316