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  • 标题:Boundedness and robust analysis of dynamics of nonlinear diffusion high-order Markovian jump time-delay system
  • 本地全文:下载
  • 作者:Ruofeng Rao ; Shouming Zhong
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:434
  • DOI:10.1186/s13662-018-1888-0
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we prove the existence and uniqueness of the equilibrium solution of the system by using the M-matrix and the topological degree technique and study the boundedness and robustness of dynamics of reaction–diffusion high-order Markovian jump Cohen–Grossberg neural networks (CGNNs) with p-Laplacian diffusion, including the common reaction–diffusion CGNNs. The obtained criteria are applicable to computer Matlab LMI-toolbox, which is suitable for large-scale calculations of actual complex engineering. Finally, a numerical example demonstrates the effectiveness of the proposed method.
  • 关键词:Cohen–Grossberg neural networks ; Schur complement technique ; M -matrix ; Lyapunov–Krasovskii functional ; Topological degree
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