Talk:Asymptotic stability

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Asymptotic stability is a general concept in dynamical systems. An equilibrium point of a dynamical system is said to be globally asymptotically stable if all trajectories of the system, regardless of the initial condition, converge to it. An equilibrium point is locally asymptotically stable if all trajectories which begin in some neighborhood of the equilibrium point converge to it. Neither linearity nor time invariance is necessarily required. It seems that this concept should be here, instead of this article, which focuses on the LTI case. I think this article ought to be moved to something like "Asymptotic stability (linear time-invariant systems)" -- Pierremenard 02:09, 11 February 2006 (UTC)