First-approximation instability criteria for non-stationary linearizations

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| 1600年 / Elsevier Ltd卷 / 68期
基金：
俄罗斯基础研究基金会;
关键词：
Approximation theory - Linearization - Lyapunov methods - Matrix algebra - System stability;
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摘要：
Perron effect of sign inversion of characteristic Lyapunov exponents for solving non-linear systems and their first approximations under the same initial conditions are considered. The Krasovskii and Lyapunov instability criteria are proved using the Perron-Vinograd triangulation method. © 2005 Elsevier Ltd. All rights reserved.
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