Stability properties and periodic evolutions of bilinear systems in input-output form

Author

Fornasini, Ettore ; Valcher, Maria Elena

Author_Institution

Dipt. di Elettronica e Inf., Padova Univ., Italy

Volume

44

Issue

6

fYear

1999

fDate

6/1/1999 12:00:00 AM

Firstpage

1197

Lastpage

1202

Abstract

Bilinear systems in input-output form are introduced and represented by means of suitable rational functions in two indeterminates. Necessary and sufficient conditions for bounded-input/bounded-output (BIBO) stability are derived and compared with analogous results on two-dimensional systems stability. Several features of the output evolutions corresponding to finite support as well as to periodic input sequences are discussed and related to the polar structure of the rational functions describing the input-output maps

Keywords

bilinear systems; discrete time systems; input-output stability; poles and zeros; rational functions; sequences; BIBO stability; bilinear systems; bounded-input/bounded-output stability; input-output form systems; input-output maps; necessary and sufficient conditions; periodic evolutions; rational functions; stability properties; two-dimensional systems; Added delay; Linear systems; Linearity; Mathematical model; Modal analysis; Nonlinear systems; Periodic structures; Stability analysis; Sufficient conditions; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.769373

Filename

769373