Asymptotic stability refers to a property of dynamical systems where, after a disturbance, the system returns to its equilibrium state over time. This concept is crucial in understanding how systems behave at steady-state, indicating that not only does the system remain near an equilibrium point but also converges towards it as time progresses. This ensures that small deviations from the equilibrium will eventually diminish, making it an essential factor in the analysis of system stability.
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