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.
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页码：1 / 31
页数：31
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