| 非线性时变离散系统的渐近稳定性 |
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| 引用本文： | 肖会敏,刘永清.非线性时变离散系统的渐近稳定性[J].高校应用数学学报(A辑),1992,7(2):281-293. |
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| 作者姓名： | 肖会敏 刘永清 |
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| 作者单位： | 郑州市河南财经学院信息系，华南理工大学自动化系 邮码 450002 |
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| 摘 要： | 本文利用文1]中的Gauss-Seidel迭代方法来研究非线性时变离散系统的渐近稳定性,得到了渐近稳定性的若干代数判据,为离散系统稳定性的研究提供了一种新的方法。
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| 关 键 词： | 非线性系统 渐近稳定性 差分方程 |
ASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DISCRETE SYSTEMS |
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| Xiao Huimin.ASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DISCRETE SYSTEMS[J].Applied Mathematics A Journal of Chinese Universities,1992,7(2):281-293. |
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| Authors: | Xiao Huimin |
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| Abstract: | In this paper, a new approach of stability analysis is found for discrete systems. Asymptotic stability of nonlinear time-varying discrete systems is investigated by means of Gauss-Seidel iteration method. Some algebraic criteria of asymptotic stability are obtained. |
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| Keywords: | Nonlinear Systems Asymptotically Stability Gauss-Seidel Iterative Method |
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