Title :
Frequency domain results for systems with multiple time scales
Author_Institution :
Virginia Polytechnic Insitute and State University, Blacksburg, VA, USA
fDate :
10/1/1986 12:00:00 AM
Abstract :
The mathematical treatment of systems with multiple time scales has traditionally employed the use of singular perturbation theory for differential equations. This paper treats such systems from a frequency-domain viewpoint. Previously existing two-frequency-scale results, involving approximation and algebraic characterization, are extended. In addition, an exact frequency-scale decomposition is presented.
Keywords :
Perturbation methods; Transfer function matrices; Control system analysis; Control systems; Differential equations; Electric variables control; Frequency domain analysis; Matrix decomposition; Physics computing; Polynomials;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1986.1104129
