Re: Lyapunov stability
From: Arnold Neumaier (Arnold.Neumaier_at_univie.ac.at)
Date: 11/14/04
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Date: Sun, 14 Nov 2004 13:09:02 +0000 (UTC)
GRad wrote:
>
> i wish to ask
>
> 1) what could be an apropriate candidate for a Lyapunov function, V(x), so
> that one can determine the stability of a simple mass (m) -spring
> (k) -damper (c)system
>
> the model equation is: mx(ddot)+cx(dot)+kx = 0
>
> V(x) must be positive definite & d/dt{V(x)} must be negative definite
>
> 2) Also how does one prove the above system stable using LaSalle's invariant
> principle?
s.p.r is not the right forum for getting your exercises done.
Have you ever seen an athlete win a medal who had others do the
physical exercises for him? Science is not really different!
You can find background for the above in most introductions to
theoretical mechanics. Read it from several different perspectives
(i.e., authors) if you can't get the insight from the first one.
Arnold Neumaier
- Next message: Phillip Helbig---remove CLOTHES to reply: "Re: Smoot's Book: Quadrupoles and Omega=1"
- Previous message: Arnold Neumaier: "Re: equivalence between path integral formulation and other QM formulation"
- In reply to: GRad: "Lyapunov stability"
- Next in thread: Igor Khavkine: "Re: Lyapunov stability"
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