A two-variable approach to solve the polynomial Lyapunov equation

A two-variable approach to solve the polynomial Lyapunov equation
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求解多项式 Lyapunov 方程的双变量方法

DOI:
10.1109/cdc.2000.914179
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发表时间:
2000
期刊:
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)
影响因子:
--
通讯作者:
P. Rapisarda
P. Rapisarda
中科院分区:
--
文献类型:
--
作者:
R. Peeters;P. Rapisarda

文献摘要

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提出了求解一元多项式李雅普诺夫方程的二元多项式方法。这样的方法产生一个迭代的解决方案的方法的基础上的Faddeev的矩阵预解式的计算。所得到的算法特别适合于需要符号或精确计算的应用。
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is put forward. Such an approach yields an iterative solution method based on the method of Faddeev for the computation of matrix resolvents. The resulting algorithm is especially suitable for applications requiring symbolic or exact computation.