Title :
Closed-form solutions for a class of linear time-varying systems
Author_Institution :
State University of New York, Binghamton, NY, USA
fDate :
6/1/1970 12:00:00 AM
Abstract :
A method is presented for finding closed-form solutions for a class of linear time-varying systems. The method results from performing a time-varying linear transformation on the original system and adjoining a differential equation constraint. A set of underdetermined auxiliary equations (i.e., more unknowns than equations) must be solved. An example is given to show the usefulness of the method.
Keywords :
Linear systems, time-varying continuous-time; Automatic control; Closed-form solution; Control systems; Differential equations; Eigenvalues and eigenfunctions; Electrostatic precipitators; Linear systems; Matrices; Regulators; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099476
