On normalized Bezout fractions of distributed LTI systems

Author

Zhu, S.Q.

Author_Institution

Fac. of Math., Eindhoven Univ. of Technol., Netherlands

Volume

36

Issue

4

fYear

1991

fDate

4/1/1991 12:00:00 AM

Firstpage

489

Lastpage

491

Abstract

The Hardy space H_∞ and Bezout fractions are introduced. Some properties of transfer function matrices with entries in the Nevanlinna class are discussed. Shift-invariant subspaces in the Hardy space H₂^kare introduced, and the existence of normalized right Bezout fractions is proven. The existence of normalized left Bezout fractions and normalized Bezout fractions of discrete linear time-invariant (LTI) systems are considered. It is shown that if a transfer matrix with entries in the Nevanlinna class has a Bezout fraction, then it has a normalized one. This means that the full power of the theories developed by using normalized Bezout fractions can be applied to the transfer matrices with entries in the Nevanlinna class

Keywords

control system analysis; discrete time systems; distributed control; matrix algebra; transfer functions; Bezout fractions; Hardy space; Nevanlinna class; discrete linear time invariant systems; distributed systems; matrix algebra; transfer function matrices; Automatic control; Constraint optimization; Control system synthesis; Design optimization; Equations; Linear matrix inequalities; Linear systems; MIMO; Output feedback; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.75108

Filename

75108