| 含不稳定子系统的离散大系统的稳定性分析 |
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| 引用本文： | 李君湘.含不稳定子系统的离散大系统的稳定性分析[J].天津大学学报(自然科学与工程技术版),1990(3):98-106. |
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| 作者姓名： | 李君湘 |
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| 作者单位： | 天津大学数学系 |
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| 摘 要： | 应用李雅普诺夫分解法,对于离散大系统给出一种新形式的李雅普诺夫函数,并推出判定大系统渐近稳定(不稳定)的充分条件为只需验证2个阶数等于子系统个数的方阵的定号性。它对子系统是稳定或不稳定的系统均适用。
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| 关 键 词： | 离散大系统 ljapunov函数 稳定性 |
STABILITY ANALYSIS OF LARGE SCALE SYSTEMS WHOSE SUBSYSTEMS MAY BE UNSTABLE |
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| Li Junxiang.STABILITY ANALYSIS OF LARGE SCALE SYSTEMS WHOSE SUBSYSTEMS MAY BE UNSTABLE[J].Journal of Tianjin University(Science and Technology),1990(3):98-106. |
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| Authors: | Li Junxiang |
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| Institution: | Department of mathematics |
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| Abstract: | In this paper, the Lyapunov decomposition method is used, and the new formula of Lyapunov functien of a Linearly and nonlinearly iterative system has been constructed. Sufficient conditions for stability (instability) of the overall system are established by testing the definity of two square matrices whose dimension is equal to the unmber of subsystems.This method can assure the stability of systems whose subsystems may be stable or unstable. |
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| Keywords: | Lyapunov function asymtotically stable decomposition of large system free subsystem interconnected subsystem |
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