Stability analysis and synthesis for slowly time varying systems based on non-common Lyapunov matrices
Stability analysis and synthesis for slowly time varying systems based on non-common Lyapunov matrices
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基于非公共Lyapunov矩阵的慢时变系统稳定性分析与综合
DOI：
10.23919/ecc.2003.7085171
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
T. Fujinaka
中科院分区：
文献类型：
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作者：
Gan Chen;H. Shibata;T. Fujinaka
近年来，提出了一种新的基于非共李雅普诺夫矩阵的稳定性分析和控制器合成方法。本文用冗余描述子形式给出了另一种简单易行的证明。在此基础上，给出了具有真实理性不确定性的慢时变系统稳定的充分条件。所提出的条件并不比以往的方法保守，且具有二次稳定性。
Recently, new stability analysis and controller synthesis methods based on non-common Lyapunov matrices are proposed. In this paper, we give another simple and easy proof for them using redundant descriptor form. Furthermore, we propose a sufficient condition for stability of slowly time-varying systems that have real rational uncertainties using the technique in the proof. The proposed condition is not more conservative than former methods and the quadratic stability.
具有参数相关李亚普诺夫函数的扩展空间控制设计
DOI：
--
发表时间：
2005
期刊：
Transactions of the Society of Instrument and Control Engineers(SICE) vol.41, no.5
影响因子：
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作者：
T.Shimomura;T.Fujii;T.Shimomura
通讯作者：
T.Shimomura