Title :
A note on Brockett´s variational technique and a conjecture in stability theory
Author :
Power, Henry M. ; Tsoi, Ah-Chung
Author_Institution :
University of Salford, Salford, England
fDate :
6/1/1974 12:00:00 AM
Abstract :
A simple frequency domain approach is proposed for approximate solution of a transcendental equation encountered in Brockett´s variational technique for the stability study of a second-order nonlinear and/or time-varying system. It is conjectured that the principle on which this approach is based is valid irrespective of system order.
Keywords :
Asymptotic stability; Linear systems, time-varying continuous-time; Nonlinear systems, continuous-time; Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear; Variational methods; Feedback; Frequency domain analysis; Nonlinear equations; Stability; Time varying systems; Transfer functions; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1974.1100563
