Liapunov function

Liapunov function

[′lyä·pu̇·nȯf ‚fəŋk·shən]
(mathematics)
References in periodicals archive ?
provided that the Liapunov function [bar.V] is a positive definite, then
(17) Allais (1943) used a 'characteristic function' which can be interpreted as a Liapunov function, consisting of the sum of the absolute values of the excess demands, and attempted to show that it is decreasing over time.
So E([u.sub.1], [u.sub.2]) is a Liapunov function for the linear system.
Komine, "Vector Liapunov function approach to longitudinal control of vehicles in a platoon," JSME International Journal C: Mechanical Systems, Machine Elements and Manufacturing, vol.
Rosier, Liapunov Functions and Stability in Control Theory, Springer Communications and Control Engineering, 2006.
Rosier, Liapunov Functions and Stability in Control Theory, Communications and Control Engineering, Springer, Berlin, Germany, 2nd edition, 2005.
Cox, "Limit Cycle Construction Using Liapunov Functions," IEEE Trans.