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线性时不变系统几乎全局稳定的充分必要条件

The Necessary and Sufficient Condition for Almost Global Stability of Linear Time-Invariant System
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摘要 通过矩阵理论和测度论的知识给出线性时不变系统几乎全局稳定的充分必要条件,即系数矩阵为Hurwitz矩阵.这种弱稳定性的概念是在测度意义下诞生的,可以应用到李雅普诺夫定理不能应用到的地方. In this work we through and necessary condition for almost weaker notion of stabihty allows for the acknowledge of matrix theory and measure theory to prove the sufficient global stability of linear time-invariant system, that A is Hurwitz matrix the apphcation also in situations where Lyapunov's theorem cannot be used.
出处 《河南科学》 2011年第9期1027-1031,共5页 Henan Science
基金 郑州航空工业管理学院青年科研基金(2010113001)
关键词 线性时不变系统 几乎全局稳定 Hurwitz矩阵 linear time-invariant system almost global stability Hurwitz matrix
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参考文献11

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