Quality of stability for linear, time-varying systems using an exact time-varying eigenvalue theory. I

Author

Johnson, C.D. ; Zhu, J.

Author_Institution

Alabama Univ., Huntsville, AL, USA

fYear

1991

fDate

10-12 Mar 1991

Firstpage

454

Lastpage

460

Abstract

The authors previously (Proc. 1990 IEEE International Symp. on Circuits and Systems, p.1393, 1990) presented an exact eigenvalue theory for the characterization of stability for linear time-varying systems. In this paper they extend these results to include precise characterizations and criteria for the quality of stability for linear, time-varying systems. These results provide analysts and control designers with a variety of mathematical tools and procedures for ensuring that the transient response of a linear, time-varying system is well behaved in the sense of settling-time, overshoot, etc. An example is given to illustrate the results

Keywords

eigenvalues and eigenfunctions; stability criteria; time-varying systems; exact time-varying eigenvalue theory; linear time-varying systems; overshoot; settling-time; stability quality; transient response; Circuit stability; Circuits and systems; Control systems; Differential equations; Eigenvalues and eigenfunctions; Linear circuits; Linear systems; Stability analysis; Stability criteria; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1991. Proceedings., Twenty-Third Southeastern Symposium on

Conference_Location

Columbia, SC

ISSN

0094-2898

Print_ISBN

0-8186-2190-7

Type

conf

DOI

10.1109/SSST.1991.138602

Filename

138602