Calculation of Quadratic Moments of High-Order Linear Systems via Routh Canonical Transformation

Puri N. N.; Weygandt C. N

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Calculation of Quadratic Moments of High-Order Linear Systems via Routh Canonical Transformation

机译：基于鲁斯规范变换的高阶线性系统二次矩的计算

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In this paper, three different methods are developed for calculating various moments of the system variables of a linear system, represented by matrix equation x = Ax. A transformation Q is developed which transforms the system matrix A into a special matrix R. Liapunov function V is considered as V = xtQtQx and it facilitates evaluation of various moments ????????0???????? tmx2dt These methods are especially useful for high-order systems. Examples are included to explain each method.

机译：在本文中，开发了三种不同的方法来计算线性系统的系统变量的各个矩，用矩阵方程x = Ax表示。提出了将系统矩阵A转换为特殊矩阵R的变换Q。将Liapunov函数V视为V = xtQtQx，它有助于评估各个时刻。 tmx2dt这些方法对于高阶系统特别有用。包含示例以说明每种方法。

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《Applications and Industry, IEEE Transactions on》 |1964年第75期|共6页
作者
Puri N. N.; Weygandt C. N;
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Missile and Space Division of the General Electric Company, Philadelphia, Pa.;

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Calculation of Quadratic Moments of High-Order Linear Systems via Routh Canonical Transformation

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