Title :
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
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;
Conference_Titel :
System Theory, 1994., Proceedings of the 26th Southeastern Symposium on
Conference_Location :
Athens, OH
Print_ISBN :
0-8186-5320-5
DOI :
10.1109/SSST.1994.287900
