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An invariant state or set is Lyapunov stable when trajectories starting sufficiently close remain close for all future time. This condition alone does not require convergence toward the invariant set.
wp-math-stability-theorymit-ocw-nonlinear-dynamicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Lyapunov stability is the stability notion requiring sufficiently nearby initial states to remain nearby for all future time, without requiring attraction.
The target is a member or subtype of the broader source class.
wp-math-stability-theorymit-ocw-nonlinear-dynamicsEach relation below starts at this concept.
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