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词汇 Linear dynamic system
分类 英语词汇 英语翻译词典
释义

Linear dynamic system

中文百科

线性动态系统 Linear dynamical system

(重定向自Linear dynamic system)

线性动态系统是指其评价函数为线性的动态系统。一般的动态系统不一定存在解析解,但某些简单的线性动态系统(如线性非时变动态系统),解为解析解,而且存在很多的数学性质。可以计算动态系统在某一平衡点附近的行为,将其近似为线性动态系统,就可以用近似的线性动态系统了解此动态系统的一些特性。

英语百科

Linear dynamical system 线性动态系统

(重定向自Linear dynamic system)
Linear approximation of a nonlinear system: classification of 2D fixed point according to the trace and the determinant of the Jacobian matrix (the linearization of the system near an equilibrium point).

Linear dynamical systems are dynamical systems whose evaluation functions are linear. While dynamical systems in general do not have closed-form solutions, linear dynamical systems can be solved exactly, and they have a rich set of mathematical properties. Linear systems can also be used to understand the qualitative behavior of general dynamical systems, by calculating the equilibrium points of the system and approximating it as a linear system around each such point.

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