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Definition of "asymptotic stability" |
(1) an equilibrium state of a system of ordinary differential equations or of a system of difference equations is asymptotically stable (in the sense of Lyapunov) if it is stable and the system trajectories converge to the equilibrium state as time goes to infinity, that is, the equilibrium xeq is asymptotically stable if it is stable andx(t)→xeq as t→∞ |
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