A note on stability and stabilizability of neutral systems

Author

Logemann, Hartmut ; Pandolfi, Luciano

Author_Institution

Inst. fur Dynamische Syst., Bremen Univ., Germany

Volume

39

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

138

Lastpage

143

Abstract

This note presents frequency-domain characterizations of exponential stability and stabilizability of neutral systems based on transfer-function matrices and the existence of `nice´ solutions of certain Bezout equations. It turns out that the existence of H^∞-solutions is not sufficient for exponential stabilizability, but that they have to satisfy an additional growth assumption as well. Whilst the proofs of the authors´ results are based on an abstract infinite-dimensional representation of the neutral system, they emphasize that the results are expressed in terms of the original parameters of the neutral equation and do not require a reformulation of the system in an abstract state-space form. The sufficiency parts of the results hold even when the delay operator acting on the derivative contains a singular part

Keywords

matrix algebra; multidimensional systems; stability; transfer functions; Bezout equations; H^∞-solutions; abstract infinite-dimensional representation; delay operator; exponential stability; exponential stabilizability; frequency-domain characterizations; growth assumption; neutral equation; neutral systems; transfer-function matrices; Algebra; Automatic control; Control systems; Delay; Equations; Geometry; Robustness; Stability; Sufficient conditions; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.273351

Filename

273351