| 离散系统部分稳定Lyapunov函数与大系统部分稳定性 |
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| 引用本文： | 李君湘. 离散系统部分稳定Lyapunov函数与大系统部分稳定性[J]. 天津大学学报(自然科学与工程技术版), 1994, 27(2): 211-217 |
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| 作者姓名： | 李君湘 |
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| 摘 要： | 对常系生离散系统构造出部分稳定的李雅诺夫函数，还给出一类变系数线性离散系统和一类非线性自治离散系统部分稳定的李雅普诺夫函数，并研究了系统为上述各系统时，大系统部分变元的稳定性。
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| 关 键 词： | 李雅普诺夫 函数 部分稳定 |
LYAPUNOV FUNCTIONS FOR PARTIAL STABILITY OF DISCRETE SYSTEMS AND PARTIAL STABILITY OF LARGE-SCALE SYSTEMS |
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| Li Junxiang. LYAPUNOV FUNCTIONS FOR PARTIAL STABILITY OF DISCRETE SYSTEMS AND PARTIAL STABILITY OF LARGE-SCALE SYSTEMS[J]. Journal of Tianjin University(Science and Technology), 1994, 27(2): 211-217 |
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| Authors: | Li Junxiang |
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| Affiliation: | Dept. of Mathematics |
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| Abstract: | n this paper a Lyapunov function concerning the partial stability of linear discrete systems with constant coefficients is constructed and the Lyapunov functions concerning the partial stability of a kind of linear system with time--varying coefficients and a kind of nonlinear and nonautonomous systems are given. These results are applied to the partial stability of the large--scale systems whose isolated subsystems are those systems mentiond above. |
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| Keywords: | Lyapunov function partial stability partial asymptotic stability V-function y-positive definite (negative definite) |
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