Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems

A. O. Ignat’ev

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Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems

机译：关于脉冲系统解的部分变量的渐近稳定性和不稳定性

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摘要

We obtain sufficient conditions for asymptotic stability with respect to part of variables for the zero solution to an impulsive system with the fixed moments of impulse effects.

机译：对于具有固定脉冲效应矩的脉冲系统的零解，我们获得了关于变量部分的渐近稳定性的充分条件。

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来源
《Siberian Mathematical Journal》 |2008年第1期|共7页
作者
A. O. Ignat’ev;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
impulsive differential equations; stability; Lyapunov function;

机译：脉冲微分方程稳定性李雅普诺夫函数;

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1. Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems [J] . A. O. Ignat’ev Siberian Mathematical Journal . 2008,第1期

机译：关于脉冲系统解的部分变量的渐近稳定性和不稳定性
2. Stability of Solutions to Linear Impulsive Systems of Ito Differential Equations with Aftereffect with Respect to Initial Data in Part of Variables [J] . Kadiev R. I. Differential equations: A translation of differensial'nye uraveniya . 2017,第1期

机译：关于初始数据的ITO微分方程线性脉冲系统的稳定性，关于初始数据的变量
3. Global Asymptotic Stability with Respect to Part of the Variables for Solutions of Systems of Ordinary Differential Equations [J] . Filimonov M. Yu Differential equations: A translation of differensial'nye uraveniya . 2020,第6期

机译：关于常微分方程系统解决方案的一部分变量的全局渐近稳定性
4. On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay [C] . A.Yu. Aleksandrov, E.B. Aleksandrova, A.P. Zhabko International Conference on Stability and Oscillations of Nonlinear Control Systems . 2016

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5. A study on static pressure reset and instability in variable air volume HVAC systems [D] . Housholder, Brian 2011

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7. On the Practical Stability of the Solutions of Impulsive Systems of Differential-Difference Equations with Variable Impulsive Perturbations [O] . Bainov Drumi D., Stamova Ivanka M. 1996

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8. Asymptotic Stability and Instability Criteria for Some Elastic Systems by Liapunov's Direct Method [R] . Plaut, R. H. 1971

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Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems

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