Talk:Control-Lyapunov function

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$f(x)$ or $f(x,u)$ ?

At the start of the article, $f$ is function of the single variable $x$ . And at the end is dependent of $u$ also. I think that the article should be changed to avoid this. To solve it I suppose that first equation can be changed to read:

{\dot {x}}(t)=f(x(t),\,u(t)),

Positive definiteness of $V(x,u)$

It should be made clear if positive definiteness of $V$ is withs respect to $x$ or both $x$ and $u$ . I would say for the explanation that is only for $x$ , but I feel that something is missing in the explanation. —Preceding unsigned comment added by 132.206.73.6 (talk) 01:56, 20 May 2010 (UTC)[reply]

Generality of Artstein's theorem

Isn't Artstein's theorem only valid for control-affine systems? - Saung Tadashi (talk) 04:01, 8 November 2019 (UTC)[reply]

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or ?

Positive definiteness of

Generality of Artstein's theorem

$f(x)$ or $f(x,u)$ ?

Positive definiteness of $V(x,u)$