Journal of Guangxi Normal University(Natural Science Edition) ›› 2019, Vol. 37 ›› Issue (4): 45-52.doi: 10.16088/j.issn.1001-6600.2019.04.005

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New Delay Partition Method for Robust Stability of Uncertain Cellular Neural Networks with Time-Varying Delays

LUO Lan1*, ZHOU Nan2, SI Jie3   

  1. 1.Computer and Mathematical Department, North Sichuan Medical College, Nanchong Sichuan 637000, China;
    2.School of Control Engineering, Chengdu University of Information Technology, Chengdu Sichuan 610103, China;
    3.School of Continuing Education, North Sichuan Medical College, Nanchong Sichuan 637000, China
  • Received:2018-08-31 Online:2019-10-25 Published:2019-11-28

Abstract: Robust stability of a class of cellular neural networks with time-varying delays and uncertain parameters is studied. With the help of the convex combination method, the unequal division of the time delay interval is achieved, the introduction of parameters reduces the limit of the time delay derivative by less than 1, and the introduction of new variables can implements the treatment of uncertain terms. By combining the Jensen inequality with the convex combination method, a new method for the integral interval is obtained. The final numerical example verifies the validity of the conclusion.

Key words: cellular neural networks, delay partition, robust stability

CLC Number: 

  • TP183
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