We treat the problem of constructing Lyapunov functions for systems which are, by assumption, exponentially stable. The construction we present results in a larger set of functions than those obtainable by previously known methods. A useful property of the proposed Lyapunov functions is that they preserve information on the rate of exponential convergence of the system. Some useful applications are given.
|Titolo:||New converse Lyapunov theorems and related results on exponential stability (Article)|
|Data di pubblicazione:||1997|
|Appare nelle tipologie:||1.1 Articolo in rivista|