Global exponential synchronization of delayed memristive neural networks with reaction-diffusion terms. Academic Article

abstract

• This paper investigates the global exponential synchronization problem of delayed memristive neural networks (MNNs) with reaction-diffusion terms. First, by utilizing the pinning control technique, two novel kinds of control methods are introduced to achieve synchronization of delayed MNNs with reaction-diffusion terms. Then, with the help of inequality techniques, pinning control technique, the drive-response concept and Lyapunov functional method, two sufficient conditions are obtained in the form of algebraic inequalities, which can be used for ensuring the exponential synchronization of the proposed delayed MNNs with reaction-diffusion terms. Moreover, the obtained results based on algebraic inequality complement and improve the previously known results. Finally, two illustrative examples are given to support the effectiveness and validity of the obtained theoretical results.

authors

• Huang, Tingwen

published proceedings

• Neural Netw

author list (cited authors)

• Cao, Y., Cao, Y., Guo, Z., Huang, T., & Wen, S.

citation count

• 75

complete list of authors

• Cao, Yanyi||Cao, Yuting||Guo, Zhenyuan||Huang, Tingwen||Wen, Shiping

publication date

• March 2020

publisher

• Elsevier  Publisher

published in

• Neural Networks  Journal

keywords

• Delayed Memristive Neural Networks
• Diffusion
• Global Exponential Synchronization
• Neural Networks, Computer
• Pinning Control Technique
• Reaction–diffusion Terms
• Time Factors

PubMed Central ID

• 31830608

Digital Object Identifier (DOI)

• 10.1016/j.neunet.2019.11.008

start page

• 70

end page

• 81

volume

• 123

URL

• http://dx.doi.org/10.1016/j.neunet.2019.11.008

user-defined tag

• 10 Reduced Inequalities