| 二次规划问题的时滞投影神经网络模型的全局指数稳定 |
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| 引用本文： | 程巧丽,刘德友,贺清清. 二次规划问题的时滞投影神经网络模型的全局指数稳定[J]. 西华大学学报(自然科学版), 2014, 33(3): 77-80. DOI: 10.3969/j.issn.1673-159X.2014.03.017 |
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| 作者姓名： | 程巧丽 刘德友 贺清清 |
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| 作者单位： | 燕山大学理学院,中国秦皇岛066004 |
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| 基金项目： | 国家自然科学基金资助项目（71071133） |
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| 摘 要： | 研究了二次规划问题，提出了求解它的一种时滞投影神经网络模型。利用反函数分方程理论和放缩的方法，证明了新模型解的存在唯一性，并给出了时滞投影神经网络全局指数稳定的充分条件。该模型可以用来解决一系列约束最优化问题中的二次规划问题。
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| 关 键 词： | 二次规划问题 泛函微分方程 全局指数稳定性 时滞神经网络 投影算子 |
Global Exponential Stability of Neural Network Models with Delayed Projection Neural Network for Quadratic Programming Problems |
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| CHENG Qiao-li,LIU De-you,HE Qing-qing. Global Exponential Stability of Neural Network Models with Delayed Projection Neural Network for Quadratic Programming Problems[J]. Journal of Xihua University(Natural Science Edition), 2014, 33(3): 77-80. DOI: 10.3969/j.issn.1673-159X.2014.03.017 |
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| Authors: | CHENG Qiao-li LIU De-you HE Qing-qing |
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| Affiliation: | ( College of Science, Yanshan University, Qinhuangdao 066004 China) |
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| Abstract: | In this paper,the authors study quadratic programming problems,and present a novel delayed projection neural network model for solving them. By the theory of functional diferential equation,the existence and uniqueness of the solution of the new model are proved,some sufficient conditions ensuring the global exponential stability of the proposed delayed projection neural network are given. So it can be used to solve a series of constraint optimization problems for the quadratic programming issues. |
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| Keywords: | quadratic programming problem functional differential equation the global exponential stability delayed neural network projection operator |
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