A necessary and sufficient stability criterion for linear time-varying systems

Author

Zhu, J. Jiim

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

fYear

1996

fDate

31 Mar-2 Apr 1996

Firstpage

115

Lastpage

119

Abstract

In this paper a necessary and sufficient exponential stability criterion is presented for linear time-varying (LTV) systems based on a previously developed parallel D-spectrum concept. This new result is a corrected version of some previously published results, where an important condition has been overlooked. Extensions of the new result to the assessment of exponential stability using a series D-spectrum, and the assessment of asymptotic stability using a relative-mean concept for the PD- and SD-eigenvalues are also discussed

Keywords

asymptotic stability; eigenvalues and eigenfunctions; linear systems; stability criteria; time-varying systems; PD-eigenvalues; SD-eigenvalue; asymptotic stability; exponential stability criterion; linear time-varying systems; necessary and sufficient stability criterion; parallel D-spectrum concept; relative-mean concept; series D-spectrum; Asymptotic stability; Communication system control; Concurrent computing; Control systems; Eigenvalues and eigenfunctions; Filters; Nonlinear dynamical systems; Polynomials; Stability criteria; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on

Conference_Location

Baton Rouge, LA

ISSN

0094-2898

Print_ISBN

0-8186-7352-4

Type

conf

DOI

10.1109/SSST.1996.493482

Filename

493482