Talk:Lyapunov function

message: The bad thing about this page is that it doesn't really say.  It gives a very precise definition of a "Lyapunov candidate function" and says a lot about Lyapunov candidate functions, but it doesn't bother to define a Lyapunov function, except in a sketchy way near the start.  — Preceding unsigned comment added by John Baez (talk • contribs) 00:40, 29 December 2013 (UTC)
thread_title:  What's a Lyapunov function? 

message: What is the point of having an external link to a describtion of a book, which actually doesn't cover the matter. There are probably thousands of books which use Lyapunov theory. If every author would set a link to his book, informational links would get lost in link-spam.
Stochastic theory of Markov-chains certainly uses Lyapunov's theorems, but Lyapunov's theory is not relatet to stochastic theory in particular. 
If I'm looking for a book about something, I'm not going to search in Wikipedia. If I need further infos about some matter, I might be happy to find useful references to books which focus on the matter.
Please, Mr S.P. Meyn, advertise somewhere else for your book.
FredTschanz (talk) 10:49, 3 February 2008 (UTC)
thread_title:  External link 

message: What does the backslash mean in the positive-definite requirements? It should be specified, if it's intentional. LokiClock (talk) 10:22, 26 September 2009 (UTC)
thread_title:  Backslash? 

message: The last phrase in the example:
"This correctly shows that the origin is asymptotically stable",
Shouldn't it say "globally asymptotically stable"?.  —Preceding unsigned comment added by 132.206.73.6 (talk) 01:29, 20 May 2010 (UTC)
thread_title:  Asymptotically stable or globally asymptotically stable? 

message: Please, note that from this article we can't cite precise definition of what is Lyapunov function.
Unfortunately, the same is true for Scholarpedia and Wolfram.
In this respect Scholarpedia cites partially some unreferenced textbook. Wolfram do not provide definition similarly to this article.
There are various definitions for this functions in the Internet. For example, Answers.com.
Please, somebody who knows, compose precise definition for Lyapunov function.
Arkadi kagan (talk) 21:13, 8 November 2010 (UTC)
thread_title:  Real definition is missing 

message: The article doesn't make any mention of the generalized lyapunov equation
AXB' + BXA' +Q = 0
Jeroendv (talk) 15:57, 20 November 2012 (UTC)
thread_title:  Generalized Lyapunov equation 

message: This article is a mess, it holds almost everything, but looks bad.
It should be short and comprehensible, when you look for (mathematical) a definition.
One can think of these functions as energy description of a system to understand what the reasoning behind it is.
1. Lyapunov function exists which holds V'(x)<= 0 -> Lyapunov stability given(it just says that system is bounded by some value[of energy],
it does not need to converge (to 0)
2. V'(x)<0 means that systems energy converges [around some area defined by x] ->(locally) asymptotically converges to stable equilibrium point
(if x=0 is such one)  — Preceding unsigned comment added by 93.129.2.48 (talk) 18:54, 20 February 2017 (UTC)
thread_title:  Article, How to think of Lyapunov functions 

message: you added the following section to this article but didn't format it very well. Adding a "CORRECTION" in the middle of an article does not fit with the encyclopedic nature of Wikipedia. Please also look at WP:CITE to learn how to format citations. 
The reverted text is copied here:
 The-erinaceous-one (talk) 23:56, 18 April 2023 (UTC)
thread_title:  Added text needs to be better formatted and integrated into article