View source for Errata: Global Lyapunov stability requires additional conditions

{{errata page
| chapter = Dynamic Behavior
| page = 121
| line = 5-6
| contributor = G. Buzi
| date = 31 Mar 09
| rev = 2.10b
| version = Second printing
| text = 
In the discussion about global stability at the end of the section on Regions of Attraction, there are additional conditions required for a Lyapunov function to guarantee global stability.  The text should read
<blockquote>
It is sometimes the case that we can find a Lyapunov function <amsmath>V</amsmath> such that <amsmath>V</amsmath> is positive definite and <amsmath>\dot V</amsmath> is negative (semi-) definite for all <amsmath>x \in R^n</amsmath>.  In <font color=blue>many instances</font> it can <font color=blue>then</font> be shown that the region of attraction for the equilibrium point is the entire state space, and the equilibrium point is said to be ''globally'' stable.
</blockquote>
}}