Generalized Second Derivative Method and Stability Criteria for Impulsive Differential Systems

Xilin Fu; Huixue Lao

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Generalized Second Derivative Method and Stability Criteria for Impulsive Differential Systems

机译：脉冲微分系统的广义二阶导数方法和稳定性判据

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In this paper we study stability, practical stability and eventual stability properties in terms of two measures for impulsive differential system employing Lyapunov function's generalized second derivative method.

机译：在本文中，我们使用Lyapunov函数的广义二阶导数方法，针对脉冲微分系统的两种度量来研究稳定性，实际稳定性和最终稳定性。

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《Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis》 |2005年第2期|共16页
作者
Xilin Fu; Huixue Lao;
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正文语种 eng
中图分类数学;
关键词
Impulse; Differential system; Lyapunov functions; Stability; Generalized second derivative method;

机译：脉冲微分系统李雅普诺夫函数稳定性广义二阶导数法;

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1. Generalized Second Derivative Method and Stability Criteria for Impulsive Differential Systems [J] . Xilin Fu, Huixue Lao Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2005,第2期

机译：脉冲微分系统的广义二阶导数方法和稳定性判据
2. On comparison theorems of stability between linear systems of ordinary, impulsive and difference equations and linear systems of generalized ordinary differential equations [J] . M. Ashordia, N. Kekelia Memoirs on Differential Equations and Mathematical Physics . 2006,第1期

机译：关于常微分方程，脉冲方程和差分方程的线性系统与广义常微分方程的线性系统的比较定理
3. On Lyapunov stability of a class of linear systems of generalized ordinary differential equations and linear impulsive systems [J] . M. Ashordia Memoirs on Differential Equations and Mathematical Physics . 2004,第1期

机译：一类广义常微分方程线性系统和线性脉冲系统的Lyapunov稳定性
4. Delay-dependent stability criteria for impulsive differential systems with delay [C] . Xiuxiang Liu, Bugong Xu, Dazhou Peng . 2005

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5. Studying the stability of a faulted, multimachine power system using the extended equal area criteria method in an undergraduate electrical engineering curriculum [D] . Kopas, Jason Michael 2000

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7. Asymptotic Stability Criteria for a Class of Impulsive Functional Differential Systems [O] . Martin J. Bohner, Ivanka M. Stamova 2014

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Generalized Second Derivative Method and Stability Criteria for Impulsive Differential Systems

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