| 一类双线性离散系统的镇定问题 |
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| 引用本文： | 程桂芳,丁志帅. 一类双线性离散系统的镇定问题[J]. 郑州大学学报(理学版), 2006, 38(3): 17-20 |
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| 作者姓名： | 程桂芳 丁志帅 |
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| 作者单位： | 郑州大学数学系,郑州,450001 |
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| 基金项目： | 河南省教育厅自然科学基金项目,编号2003110002 |
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| 摘 要： | 讨论一类双线性离散系统的镇定问题.从所研究矩阵的特征根出发,在特征根均具有负实部和至少一个特征根具有正实部这两种情况下分别讨论了系统的镇定问题,给出了相当一般的结论.最后给出算例来验证结论的正确性.
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| 关 键 词： | 镇定 不变集 双线性系统 离散系统 |
| 文章编号： | 1671-6841(2006)03-0017-04 |
| 收稿时间： | 2005-12-22 |
| 修稿时间： | 2005-12-22 |
Stabilization of a Class of Discrete-time Bilinear Systems |
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| CHENG Gui-fang,DING Zhi-shuai. Stabilization of a Class of Discrete-time Bilinear Systems[J]. Journal of Zhengzhou University(Natrual Science Edition), 2006, 38(3): 17-20 |
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| Authors: | CHENG Gui-fang DING Zhi-shuai |
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| Affiliation: | Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | The problem of stabilization for a class of discrete-time bilinear systems is discussed.Based on the eigenvalue of matrixes,the stabilization problem is considered in two cases.One case is that all eigenvalues have negative real parts,and the other case is that at least one of the eigenvalues has positive real part.Some general results are shown respectively.Finally two examples are given to illustrate the feasibility of the results. |
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| Keywords: | stabilization invariant set bilinear system discrete-time system |
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