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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 |
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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.
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Received: 20 March 2011
Revised: 10 July 2011
Accepted manuscript online:
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PACS:
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07.05.Mh
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(Neural networks, fuzzy logic, artificial intelligence)
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02.10.Yn
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(Matrix theory)
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02.30.Yy
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(Control theory)
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Fund: Project supported by the Doctoral Startup Foundation of Taiyuan University of Science and Technology, China (Grant No. 20112010). |
Cite this article:
Wang Jian-An(王健安) Novel delay-dependent stability criteria for neural networks with interval time-varying delay 2011 Chin. Phys. B 20 120701
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