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A new result on global exponential robust stability of neural networks with time-varying delays

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Abstract

In this paper, the global exponential robust stability of neural networks with time-varying delays is investigated. By using nonnegative matrix theory and the Halanay inequality, a new sufficient condition for global exponential robust stability is presented. It is shown that the obtained result is different from or improves some existing ones reported in the literatures. Finally, some numerical examples and a simulation are given to show the effectiveness of the obtained result.

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Authors and Affiliations

  1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu Sichuan, 610054, China

    Jinliang Shao & Tingzhu Huang

Authors
  1. Jinliang Shao
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  2. Tingzhu Huang
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Corresponding author

Correspondence to Jinliang Shao.

Additional information

This work was supported by 973 Programs (No.2008CB317110), the Key Project of Chinese Ministry of Education (No.107098), Sichuan Province Project for Applied Basic Research (No.2008JY0052) and the Project for Academic Leader and Group of UESTC.

Jinliang SHAO was born in Shanxi Province, China, in 1981. He received the B.S. degree from the University of Electronic Science and Technology of China (UESTC), Chengdu, in 2003. He is currently pursuing the M.S. and Ph.D. degrees with the School of Applied Mathematics, UESTC. His research interests include robust control, neural network, and matrix analysis with applications in control theory.

Tingzhu HUANG was born in Sichuan Province, China, in l964. He received B.S., M.S., and Ph.D. degrees in Xi’an Jiaotong University in 1986, 1992, and 200l, respectively. He is currently a professor with UESTC. His research interests include matrix analysis and computation with applications in control theory.

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Shao, J., Huang, T. A new result on global exponential robust stability of neural networks with time-varying delays. J. Control Theory Appl. 7, 315–320 (2009). https://doi.org/10.1007/s11768-009-8031-4

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  • DOI: https://doi.org/10.1007/s11768-009-8031-4

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