Novel stability criteria for fuzzy Hopfield neural networks based on an improved homogeneous matrix polynomials technique
查看参考文献29篇
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文摘
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The global stability problem of Takagi-Sugeno (T-S) fuzzy Hopfield neural networks (FHNNs) with time delays is investigated. Novel LMI-based stability criteria are obtained by using Lyapunov functional theory to guarantee the asymptotic stability of the FHNNs with less conservatism. Firstly, using both Finsler's lemma and an improved homogeneous matrix polynomial technique, and applying an affine parameter-dependent Lyapunov-Krasovskii functional, we obtain the convergent LMI-based stability criteria. Algebraic properties of the fuzzy membership functions in the unit simplex are considered in the process of stability analysis via the homogeneous matrix polynomials technique. Secondly, to further reduce the conservatism, a new right-hand-side slack variables introducing technique is also proposed in terms of LMIs, which is suitable to the homogeneous matrix polynomials setting. Finally, two illustrative examples are given to show the efficiency of the proposed approaches. |
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来源
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Chinese Physics. B
,2012,21(10):100701-1-100701-10 【核心库】
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DOI
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10.1088/1674-1056/21/10/100701
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关键词
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Hopfield neural networks
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linear matrix inequality
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Takagi-Sugeno fuzzy model
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homogeneous polynomially technique
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地址
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1.
School of Mathematics, Jilin Normal University, Siping, 136000
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Institute of Systems Science, Northeastern University, Shenyang, 110004
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语种
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英文 |
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ISSN
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1674-1056 |
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学科
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非线性科学 |
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基金
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国家自然科学基金
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the Natural Science Foundation of Jilin Province, China
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文献收藏号
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CSCD:4701580
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