Title :
A unified spectral theory for linear time-varying systems-progress and challenges
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
This paper presents a survey on the progress and challenges in the development of a unified spectral theory for the class of scalar linear time-varying systems, based on a classical result by Floquet (1879) on differential operator factorization. This unified theory is a natural extension of the conventional eigenvalue-eigenvector theory for linear time-invariant systems. Applications of the new theory are exemplified with the design of a time-varying bandwidth filter which has been used in a missile autopilot
Keywords :
eigenvalues and eigenfunctions; spectral analysis; time-varying systems; differential operator factorization; eigenvalue-eigenvector theory; missile autopilot; scalar linear time-varying systems; time-varying bandwidth filter; unified spectral theory; Bandwidth; Communication system control; Control systems; Eigenvalues and eigenfunctions; Missiles; Nonlinear equations; Polynomials; Riccati equations; Stability criteria; Time varying systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478474
