Novel delay-dependent stability criteria for neural networks with interval time-varying delay

doi:10.1088/1674-1056/20/12/120701

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120701-120701.doi: 10.1088/1674-1056/20/12/120701

Novel delay-dependent stability criteria for neural networks with interval time-varying delay

王健安

School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

收稿日期:2011-03-20 修回日期:2011-07-10 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
Project supported by the Doctoral Startup Foundation of Taiyuan University of Science and Technology, China (Grant No. 20112010).

Novel delay-dependent stability criteria for neural networks with interval time-varying delay

Wang Jian-An(王健安)^†

School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

Received:2011-03-20 Revised:2011-07-10 Online:2011-12-15 Published:2011-12-15
Supported by:
Project supported by the Doctoral Startup Foundation of Taiyuan University of Science and Technology, China (Grant No. 20112010).

摘要/Abstract

摘要： The problem of delay-dependent asymptotic stability for neural networks with interval time-varying delay is investigated. Based on the idea of delay decomposition method, a new type of Lyapunov-Krasovskii functional is constructed. Several novel delay-dependent stability criteria are presented in terms of linear matrix inequality by using the Jensen integral inequality and a new convex combination technique. Numerical examples are given to demonstrate that the proposed method is effective and less conservative.

Abstract: The problem of delay-dependent asymptotic stability for neural networks with interval time-varying delay is investigated. Based on the idea of delay decomposition method, a new type of Lyapunov-Krasovskii functional is constructed. Several novel delay-dependent stability criteria are presented in terms of linear matrix inequality by using the Jensen integral inequality and a new convex combination technique. Numerical examples are given to demonstrate that the proposed method is effective and less conservative.

Key words: neural networks, interval time-varying delay, delay-dependent stability, convex combination, linear matrix inequality

中图分类号: (Neural networks, fuzzy logic, artificial intelligence)

07.05.Mh

02.10.Yn (Matrix theory) 02.30.Yy (Control theory)

王健安. Novel delay-dependent stability criteria for neural networks with interval time-varying delay[J]. 中国物理B, 2011, 20(12): 120701-120701.

Wang Jian-An(王健安) . Novel delay-dependent stability criteria for neural networks with interval time-varying delay[J]. Chin. Phys. B, 2011, 20(12): 120701-120701.

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Novel delay-dependent stability criteria for neural networks with interval time-varying delay

Novel delay-dependent stability criteria for neural networks with interval time-varying delay

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