A comment on the method of the closest unstable equilibrium pointin nonlinear stability analysis

Noldus E.; Loccufier M.

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A comment on the method of the closest unstable equilibrium pointin nonlinear stability analysis

机译：非线性稳定性分析中最不稳定平衡点方法的评述

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摘要

A counterexample is presented to a theorem which has been proposed as a theoretical basis for the method of the closest unstable equilibrium point to estimate asymptotic stability regions in nonlinear systems. An additional condition is formulated under which the theorem is valid. Its implications on the applicability of the method are discussed

机译：一个定理的反例被提出作为最接近的不稳定平衡点估计非线性系统中渐近稳定区域的方法的理论基础。提出了一个附加条件，在该条件下该定理有效。讨论了其对方法适用性的影响

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《IEEE Transactions on Automatic Control》 |1995年第3期|p.497-500|共4页
作者
Noldus E.; Loccufier M.;
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正文语种 eng
中图分类自动化系统;
关键词
asymptotic stability; nonlinear control systems; nonlinear dynamical systems; asymptotic stability regions; closest unstable equilibrium point; nonlinear stability analysis; nonlinear systems;

机译：渐近稳定性非线性控制系统非线性动力系统渐近稳定区域最小平衡点非线性稳定性分析非线性系统;

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1. A comment on the method of the closest unstable equilibrium point in nonlinear stability analysis [J] . Noldus E., Loccufier M. IEEE Transactions on Automatic Control . 1995,第3期

机译：非线性稳定性分析中最接近不稳定平衡点的方法的评论
2. A singular fixed-point homotopy method to locate the closest unstable equilibrium point for transient stability region estimate [J] . Jaewook Lee, Hsiao-Dong Chiang IEEE transactions on circuits and systems. II, Express briefs . 2004,第4期

机译：定位最近不稳定不稳定点的奇异不动点同伦方法
3. A novel method to compute the closest unstable equilibrium point for transient stability region estimate in power systems [J] . Chih-Wen Liu, Thorp J.S. IEEE Transactions on Circuits and Systems. 1 . 1997,第7期

机译：电力系统暂态稳定区域估计的最近不稳定平衡点计算新方法
4. A NOVEL HOMOTOPY-BASED ALGORITHM FOR THE CLOSEST UNSTABLE EQUILIBRIUM POINT METHOD IN NONLINEAR STABILITY ANALYSIS [C] . Jaewook Lee IEEE International Symposium on Circuits and Systems . 2003

机译：一种基于新颖的基于同型算法的非线性稳定性分析中最近的不稳定平衡点法
5. Analysis of slope stability using limit equilibrium and numerical methods with case examples from the Aguas Claras Mine, Brazil. [D] . Franca, Paulo Ricardo Behrens da. 1997

机译：使用极限平衡和数值方法对边坡稳定性进行分析，并以巴西阿瓜斯克拉拉斯矿为例。
6. Retracted: Slope Stability Analysis Using Limit Equilibrium Method in Nonlinear Criterion [O] . The Scientific World Journal 2015

机译：缩回：非线性准则中使用极限平衡法的边坡稳定性分析
7. Reply to "Comments on 'Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods' by Y.M. Cheng, T. Lansivaara and W.B. Wei," by J. Bojorque, G. De Roeck and J. Maertens [O] . Cheng YM, Lansivaara T, Wei WB 2008

机译：J. Bojorque，G。De Roeck和J. Maertens对“关于Y.M. Cheng，T。Lansivaara和W.B. Wei的'通过极限平衡和强度折减方法进行二维边坡稳定性分析的评论”的回复
8. Locating Unstable Equilibrium Points for Power-System Transient-Stability Analysis [R] . DeMarco, C. L., Bergen, A. R. 1982

机译：电力系统暂态稳定分析中不稳定平衡点的定位

A comment on the method of the closest unstable equilibrium pointin nonlinear stability analysis

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