Title :
Stability in linear systems having a time-variable parameter
Author :
Cooley, W.W. ; Clark, R.N. ; Buckner, R.C.
Author_Institution :
Seattle Univ., Seattle, WA, USA
fDate :
10/1/1964 12:00:00 AM
Abstract :
Stability of a linear system having a sinusoidally varying physical parameter is determined by studying the characteristic equation to the system. Conditions for asymptotic stability are derived from theorems of Floquet, Cauchy, and Poincaré. These lead to an infinite determinant, approximated by a finite determinant, from which conditions on the physical parameters for stability are determined. Experimental results on two systems show the validity of the approximation, and also indicate that a vibratory element can induce stability in an otherwise unstable system.
Keywords :
Linear systems, time-varying; Time-varying systems, linear; Automatic control; Books; Control systems; Delay effects; Differential equations; Distributed control; Integral equations; Linear systems; Mathematics; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1964.1105751