Stability and passivity analysis of systems with time varying parameters

Author

Dasgupta, Soura ; Chockalingam, Ganapathy ; Fu, Minuye

Author_Institution

Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1857

Abstract

This paper concerns passivity and stability analysis of linear time varying (LTV) systems characterized by parametric time variations. The first set of results quantify a trade off between the degree of passivity of the frozen systems and the rate of parameter variations, so that passivity of certain classes of such LTV systems is preserved. One class of systems examined has frozen systems whose transfer functions are multiaffinely parametrized. Another class considered includes linear circuits with time varying resistors, inductors capacitors and mutual inductors. The second set of results exposes the utility of these passivity results in stability analysis

Keywords

MIMO systems; Riccati equations; asymptotic stability; linear network analysis; linear systems; matrix algebra; multiport networks; time-varying networks; time-varying systems; capacitors; frozen systems; linear circuits; linear time varying systems; mutual inductors; parametric time variations; passivity analysis; stability analysis; time varying resistors; transfer functions; Capacitors; Circuits and systems; Cities and towns; Inductors; Linear circuits; Resistors; Riccati equations; Stability analysis; Time varying systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572840

Filename

572840