New results on stability boundaries of periodic linear systems

Author

Zhu, J. ; Vemula, S.K.

Author_Institution

Remote Sensing & Image Process. Lab., Louisiana State Univ. Baton Rouge, LA, USA

fYear

1994

fDate

20-22 Mar 1994

Firstpage

115

Lastpage

119

Abstract

A method for evaluating Floquet characteristic exponents (FCE) of linear periodic (LP) systems has been developed in by Zhu and Vemula (1993), based on a so called harmonic balanced PD-characteristic equation. By iterating suitably modified such (nonlinear) equations using Newton´s method, bifurcation diagrams are obtained which are shown to be the stability boundaries of the LP system. Illustrative examples are given for second-order Hill´s equations. Owing to its computational efficiency and accuracy, the new method reveals nontrivial domains of stability for the classical Mathieu´s equation which appear have been overlooked by previous researchers

Keywords

bifurcation; conjugate gradient methods; linear systems; numerical analysis; stability criteria; time-varying systems; FCE; Floquet characteristic exponents; Mathieu´s equation; Newton´s method; bifurcation diagrams; computational efficiency; harmonic balanced PD-characteristic equation; iteration; linear periodic systems; periodic linear systems; second-order Hill´s equations; stability boundaries; stability domains; Bifurcation; Computational efficiency; Image processing; Laboratories; Linear systems; Newton method; Nonlinear equations; Remote sensing; Stability analysis; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1994., Proceedings of the 26th Southeastern Symposium on

Conference_Location

Athens, OH

ISSN

0094-2898

Print_ISBN

0-8186-5320-5

Type

conf

DOI

10.1109/SSST.1994.287900

Filename

287900