GENERALIZED LYAPUNOV EQUATION AND FACTORIZATION OF MATRIX POLYNOMIALS

被引：14

作者：

ALIEV, FA

LARIN, VB

机构：

[1] ISTANBUL TECH UNIV,FAC SCI & LETTERS,DEPT ENGN SCI,ISTANBUL,TURKEY

[2] ACAD SCI KIEV,INST MECH,KIEV,UKRAINE

[3] BAKU ACAD SCI,INST MATH & MECH,BAKU,AZERBAIJAN

来源：

SYSTEMS & CONTROL LETTERS | 1993年 / 21卷 / 06期

关键词：

ALGEBRAIC LYAPUNOV EQUATIONS; POLYNOMIAL MATRIX; SPECTRAL FACTORIZATION; SIGN FUNCTION;

D O I：

10.1016/0167-6911(93)90053-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents an algorithm for the construction of a solution of the generalized Lyapunov equation. It is proved that the polynomial matrix factorization relative to the imaginary axis may be reduced to the successive solution of Lyapunov equations, i.e. the factorization is reduced to the solution of a sequence of generalized Lyapunov equations, not to the solution of generalized Riccati equation.

引用

页码：485 / 491

页数：7

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