Title :
Frequency domain results for systems with slow and fast dynamics
Author :
Luse, J. William ; Khalil, Hassan K.
Author_Institution :
Virginia Polytechnic Insitute and State University, Blacksburg, VA, USA
fDate :
12/1/1985 12:00:00 AM
Abstract :
The mathematical treatment of systems with slow and fast dynamics has traditionally involved singular perturbation theory for differential equations. This paper suggests a set of conditions to be placed on a frequency domain description of a system to guarantee two time scale behavior. Some basic stability and approximation results are presented.
Keywords :
Transfer function matrices; Automatic control; Differential equations; Feedback loop; Frequency domain analysis; Genetic expression; Modems; Polynomials; Reduced order systems; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103863
