| 双线性广义系统结构稳定的李亚普诺夫判据 |
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| 引用本文： | 黄玉洁,张秀华. 双线性广义系统结构稳定的李亚普诺夫判据[J]. 鞍山科技大学学报, 2005, 0(Z1) |
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| 作者姓名： | 黄玉洁 张秀华 |
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| 作者单位： | 鞍山师范学院数学系 辽宁鞍山 114044(黄玉洁)，东北大学理学院 辽宁沈阳 110004(张秀华) |
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| 摘 要： | 双线性广义系统的稳定性研究具有广泛的实际意义,基于李亚普诺夫方程,研究了广义双线性系统平衡点稳定的问题。用李亚普诺夫方法研究了双线性广义系统的结构稳定问题,在此基础上,得到了这类双线性系统结构稳定和李亚普诺夫方程的解的关系。给出了这类双线性广义系统结构稳定的充要条件。
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| 关 键 词： | 双线性广义系统 正则 李亚普诺夫方程 结构稳定 |
Lyapunov criteria for structural stability of bilinear generalized system |
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| HUANG Yu-jie,ZHANG Xiu-hua. Lyapunov criteria for structural stability of bilinear generalized system[J]. Journal of Anshan University of Science and Technology, 2005, 0(Z1) |
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| Authors: | HUANG Yu-jie ZHANG Xiu-hua |
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| Affiliation: | HUANG Yu-jie~1,ZHANG Xiu-hua~2 |
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| Abstract: | It is of practical importance to study the structural stability of bilinear generalized system.Based on Lyapunov equation,the stability of balance point of bilinear generalized system was studied.Lyapunov criteria were used to study their structural stability, thus obtaining the relationship between the stability of these systems and the solution to Lyapunov equation.The sufficient and necessary conditions were given to the structural stability of these bilinear generalized systems. |
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| Keywords: | bilinear generalized system regular Lyapunov equation structural stability |
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