| 一种新的中立型延时系统不稳定特征根的数值方法 |
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| 引用本文： | 都智红,胡广大,李华德,梁建坤.一种新的中立型延时系统不稳定特征根的数值方法[J].控制与决策,2009,24(2). |
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| 作者姓名： | 都智红 胡广大 李华德 梁建坤 |
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| 作者单位： | 1. 北京科技大学,信息工程学院,北京,100083
2. 沈阳药科大学计算中心,沈阳,110016 |
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| 基金项目： | 国家自然科学基金，北京市教育委员会重点学科共建项目 |
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| 摘 要： | 针对中立型延时系统超越特征方程的特点,提出了计算其不稳定特征根的数值方法.首先分析了系统具有有限个不稳定特征根的条件及其在复平面上的范围.并结合特征根的对称性.缩小计算范围;然后对缩小后的区域进行网格划分,根据函数局部极小值原理并结合几何搜索的方式得到不稳定特征根的近似值,作为非线性无约束优化方法fsolve的初值,进而得到不稳定特征根的数值解;最后通过计算实例验证了所提方法的有效性.
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| 关 键 词： | 中立型延时系统 函数局部极值 几何搜索 非线性无约束优化 |
New numerical method for unstable characteristic roots of neutral delay systems |
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| HAO Zhi-hong,HUGuang-da,LI Hua-de,LIANG Jian-kun.New numerical method for unstable characteristic roots of neutral delay systems[J].Control and Decision,2009,24(2). |
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| Authors: | HAO Zhi-hong HUGuang-da LI Hua-de LIANG Jian-kun |
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| Affiliation: | 1.School of Information Engineering;University of Science and Technology Beijing;Beijing100083;China;2.Computer Center;Shenyang Pharmacological University;Shenyang 110016;China |
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| Abstract: | Based on the properties of characteristic equation for neutral delay systems,a numerical method for unstable characteristic roots of systems is proposed.Firstly,the condition of characteristic equation with finite unstable characteristic roots are analyzed,so does the region of them in the complex plane.Owing to the symmetry of unstable characteristic roots,the region is narrowed.Based on the principle of local minimum value,the shrink bounded closed region is divided into different grid.Then approximation ... |
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| Keywords: | Neutral delay systems Local extremum of function Geometric search Unconstrained nonlinear optimization |
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