| 时滞神经网络对于新的二次优化的应用 |
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| 引用本文： | 张静文,刘德友,吴文娟.时滞神经网络对于新的二次优化的应用[J].郑州大学学报(自然科学版),2012(1):6-10. |
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| 作者姓名： | 张静文 刘德友 吴文娟 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛066004 |
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| 基金项目： | 国家自然科学基金资助项目,编号70671088,71071133 |
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| 摘 要： | 研究了一类新的二次优化最优解稳定性问题,并在M为广义正定矩阵时给出了判定平衡点全局指数稳定的充分条件,通过时滞神经网络解线性投影方程的模型,借助Lyapunov函数给出系统全局稳定性的充分条件,最后用仿真实例说明研究结果的有效性.
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| 关 键 词： | 时滞神经网络 投影方程 广义正定矩阵 全局指数稳定 最优解 |
Delayed Neural Network for Quadratic Optimization Applications |
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| ZHANG Jing-wen,LIU De-you,WU Wen-juan.Delayed Neural Network for Quadratic Optimization Applications[J].Journal of Zhengzhou University (Natural Science),2012(1):6-10. |
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| Authors: | ZHANG Jing-wen LIU De-you WU Wen-juan |
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| Institution: | (College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | A kind of new quadratic optimization problem of the stability of optimal solutions was studied.Sufficient conditions were given to determine the equilibrium point for globally exponentially stable,which was considered as the generalized positive definite matrix M.Through the delayed neural network model for solving linear projection equations,new sufficient conditions for global stability of the system were given with the Lyapunov function.The final simulation showed the validity of research results. |
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| Keywords: | delay neural network projection equations generalized positive definite matrix global exponential stability optimal solution |
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