| EXPONENTIAL STABILITY AND PERIODIC SOLUTION OF HYBRID BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DISCRETE DELAYS |
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| 作者姓名： | 谢惠琴 王全义 |
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| 作者单位： | Dept.of Math.，Fuzhou University，Fuzhou 350002，Dept.of Math.，Huaqiao University，Quanzhou 362011 |
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| 基金项目： | This work was supported by scientific research foundation of affairs concerning national living abroad office of the State Council. |
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| 摘 要： | In this paper, we study the existence, uniqueness, and the global exponential stability of the periodic solution and equilibrium of hybrid bidirectional associative memory neural networks with discrete delays. By ingeniously importing real parameters di > 0 (i = 1,2, …, n) which can be adjusted, making use of the Lyapunov functional method and some analysis techniques, some new sufficient conditions are established. Our results generalize and improve the related results in 9]. These conditions can be used both to design globally exponentially stable and periodical oscillatory hybrid bidirectional associative neural networks with discrete delays, and to enlarge the area of designing neural networks. Our work has important significance in related theory and its application.
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| 关 键 词： | 指数稳定性 周期解 离散 延迟 存在性 唯一性 |
EXPONENTIAL STABILITY AND PERIODIC SOLUTION OF HYBRID BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DISCRETE DELAYS |
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| Xie Huiqin.EXPONENTIAL STABILITY AND PERIODIC SOLUTION OF HYBRID BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DISCRETE DELAYS[J].微分方程年刊(英文版),2004,20(3):312-320. |
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| Authors: | Xie Huiqin |
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| Institution: | [1]Dept.ofMath.,FuzhouUniversity,Fuzhou350002 [2]Dept.ofMath.,HuaqiaoUniversity,Quanzhou362011 |
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| Abstract: | In this paper, we study the existence, uniqueness, and the global exponential stability of the periodic solution and equilibrium of hybrid bidirectional associative memory neural networks with discrete delays. By ingeniously importing real parameters di > 0 (i = 1, 2,..., n) which can be adjusted, making use of the Lyapunov functional method and some analysis techniques, some new sufficient conditions are established. Our results generalize and improve the related results in 9]. These conditions can be used both to design globally exponentially stable and periodical oscillatory hybrid bidirectional associative neural networks with discrete delays, and to enlarge the area of designing neural networks. Our work has important significance in related theory and its application. |
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| Keywords: | hybrid bidirectional associative memory neural networks periodic solution equilibrium global exponential stability |
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