【characteristic_equation】什么意思_英语characteristic_equation的翻译_音标_读音_用法_例句_在线翻译

characteristic equation
美 [ˌkærəktəˈrɪstɪk ɪˈkweɪʒn]

数学 | 电子、通信与自动控制技术 | 物理学 | 机械工程 | 计算机科学技术

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abstract: In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree n \, on which depends the solutions of a given n \, th-order differential equation. The characteristic equation can only be formed when the differential equation is linear, homogeneous, and has constant coefficients.

以上来源于: WordNet

The roots of the characteristic equation determine the stability of the system and the general nature of the transient response to any input.

特征方程的根决定了系统的稳定性以及对各种输入的响应特性。

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Methods of using the D-decomposition curves to judge whether all the roots of the characteristic equation possess a negative real part are also discussed.

文中也提出了利用分划曲线来判定系统特征方程具有全部负实部根的方法。

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By studying the properties of roots for the corresponding characteristic equation, the sufficient conditions under which the equation is stable are given.

通过分析相应特征方程根的性质，给出系统稳定的一个充分条件。

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