| 离散动态系统的稳定性判据 |
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| 引用本文： | 龙瑞仙,李海燕.离散动态系统的稳定性判据[J].湖南工程学院学报(自然科学版),2011(4):41-43. |
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| 作者姓名： | 龙瑞仙 李海燕 |
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| 作者单位： | 南华大学计算机科学与技术学院,衡阳,421001 |
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| 基金项目： | 湖南省教育厅科研资助项目 |
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| 摘 要： | 对离散动态系统x（k＋1）=A（）x（k）,x（0）=x0的渐近稳定性进行了讨论,利用特殊矩阵方法和技巧,对区间矩阵的最大模阵M的元素进行探讨,获得了新的简单实用的判据,并用数值例子说明了结果的有效性和优越性.
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| 关 键 词： | 离散动态系统 渐近稳定 区间矩阵 特征值 |
The Criteria for Stability of Discrete Dynamic Systems |
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| LONG Rui-xian,LI Hai-yan.The Criteria for Stability of Discrete Dynamic Systems[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2011(4):41-43. |
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| Authors: | LONG Rui-xian LI Hai-yan |
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| Institution: | (School of Computer Science and Technology,Nanhua University,Hengyang 421001,China) |
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| Abstract: | The asymptotic stability of discrete dynamic system x（k＋1）=A（）x（k）,x（0）=x0 is discussed.The special matrix analysis method and technique are used to investigate the properties of the maximal module matrix M′s elements of interval matrix.Several new algebra criterian of stability are obtained,and then some examples to illustrate the effectiveness and superiority of the results are given. |
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| Keywords: | discrete dynamic systems asymptotic stability interval matrix special radius |
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