| 非线性灰色离散系统零解的稳定性 |
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| 引用本文： | 陈菊芳. 非线性灰色离散系统零解的稳定性[J]. 应用数学学报, 1995, 18(1): 123-128 |
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| 作者姓名： | 陈菊芳 |
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| 作者单位： | 陕西师范大学数学系 |
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| 摘 要： | 本文用区间矩阵和Ｌｙａｐｕｎｏｖ第二方法讨论了具有非线性扰动项的灰色离散系统的稳定性，得到了若干稳定性的代数判据，这些结果将文（５）的主要结果由线性推广到了非线性，并给出了实现的例子。
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| 关 键 词： | 非线性 灰色离散系统 零解 稳定性 |
STABILITY OF TRIVIAL SOLUTION ON NONLINEAR GRAY DISCRETE DYNAMIC SYSTEM |
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| CHEN JUFANG. STABILITY OF TRIVIAL SOLUTION ON NONLINEAR GRAY DISCRETE DYNAMIC SYSTEM[J]. Acta Mathematicae Applicatae Sinica, 1995, 18(1): 123-128 |
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| Authors: | CHEN JUFANG |
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| Abstract: | In this paper, the stability of a nonlinear gray discrete system is studied, and some criteria for the stability of trivial solutions are obtained by using interval matrices and Lyapunov's second method. We will see that the main results in [5] are generalized from linear systems to nonlinear gray systems. Finally, some concrete examples are given. |
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| Keywords: | Nonlinear grey discrete system interval motries asymptotic stability global uniform asymptotic stability |
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