Title :
Lagrange stability and higher order derivatives of Liapunov functions
Author :
Heinen, James A. ; Vidyasagar, Mathukumalli
Author_Institution :
Marquette University, Milwaukee, Wis.
fDate :
7/1/1970 12:00:00 AM
Abstract :
It is shown that the Lagrange stability of an autonomous system can be determined on the basis of the existence of a Liapunov function and the satisfaction of a certain inequality involving its first three derivatives.
Keywords :
Asymptotic stability; Differential equations; Inductance; Lagrangian functions; Lead; Nonlinear equations; Resistors; Voltage;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1970.7890
