Normalized doubly coprime factorizations for infinite-dimensional linear systems

被引：18

作者：

Curtain, RF ^{[1
]}

Opmeer, MR ^{[1
]}

机构：

[1] Univ Groningen, Inst Math, NL-9700 AV Groningen, Netherlands

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2006年 / 18卷 / 01期

关键词：

infinite-dimensional linear systems; coprime factorizations; regular linear systems; stability; stabilizability; Riccati equations; Lyapunov equations; Bezout equations; Nehari problem; well-posed linear systems; operator nodes;

D O I：

10.1007/s00498-005-0158-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We obtain explicit formulas for normalized doubly coprime factorizations of the transfer functions of the following class of linear systems: the input and output operators are vector-valued, but bounded, and the system is input and output stabilizable. Moreover, we give explicit formulas for the Bezout factors. Using a reciprocal approach, we extend our results to a larger class where the input and output operators are allowed to be unbounded. This class is much larger than the class of well-posed linear systems.

引用

页码：1 / 31

页数：31

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