A property of the Routh table and its use

Beghi A.; Lepschy A.; Viaro U.

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A property of the Routh table and its use

机译：Routh表的一个属性及其用途

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Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some of the others according to the entries of a row of the Routh table for the given polynomial. This fact can be exploited to evaluate certain quadratic integrals in an efficient way

机译：从给定的多项式开始，劳斯算法递归地生成一系列全极点传递函数，它们具有相同的脉冲响应能量和适当数量的导数。结果表明，根据给定多项式的Routh表行的条目，这些能量中的每一个都由其他一些能量的线性组合给出。可以利用这一事实以有效的方式评估某些二次积分

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《IEEE Transactions on Automatic Control》 |1994年第12期|p.2494-2496|共3页
作者
Beghi A.; Lepschy A.; Viaro U.;
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正文语种 eng
中图分类自动化系统;
关键词
Routh methods; integral equations; poles and zeros; polynomials; transfer functions; transient response; Routh algorithm; Routh table; all-pole transfer functions; impulse response; polynomial; quadratic integrals;

机译：Routh方法;积分方程;极点和零点;多项式;传递函数;瞬态响应;Routh算法;Routh表;全极点传递函数;脉冲响应;多项式;二次积分;

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A property of the Routh table and its use

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