Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 124-131.

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Synchronization of a Class of Delayed Neural Networks with Sector Nonlinearity 

  

  1. Department of Mathematics, Shaoguan University

  • Received:2007-12-25 Online:2010-03-30 Published:2023-06-13
  • About author:HUANG You-liang(1969- ), male, native of Shixing, Guangdong, a lecturer of Shaoguan University, M.S.D., engages in the research of dynamical system and the teaching research of mathematics.

Abstract: In this paper, global synchronization is discussed for a general class of delayed neural networks with time-varying and distributed delays. Furthermore, the activation functions in the neural networks can be different type. Based on the drive-response concept and the Lyapunov stability theorem, some sufficient criteria are obtained to guarantee the global synchronization of the considered models even when input sector nonlinearity caused by physical limitations is presented in response systems. Finally, a typical example is also given to illustrate the effectiveness of the proposed synchronization scheme. 

Key words:  synchronization, neural networks, distributed delays, sector nonlinearity

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