Title :
On a triangle inequality used in Lyapunov function construction
Author :
George, Jinto ; Martin, Christian ; Sutton, W.
Author_Institution :
University of Wyoming, Laramie, WY, USA
fDate :
10/1/1972 12:00:00 AM
Abstract :
The method for constructing Lyapunov functions using the Okamura function is shown to be missing a crucial step. The proof of this step, which uses the classical "smoothing of the corners" concept, is given.
Keywords :
Lyapunov functions; Calculus; Equations; Fasteners; Frequency; Lyapunov method; Mathematics; Nonlinear systems; Resonance; Smoothing methods; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1100127