Under the structural LDS condition, a parameterized family of LTNs converges to a globally exponentially stable PDS in the fast limit and a globally asymptotically stable HSS in the slow limit.
Dynamical systems and variational inequalities
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Timescale Limits of Linear-Threshold Networks
Under the structural LDS condition, a parameterized family of LTNs converges to a globally exponentially stable PDS in the fast limit and a globally asymptotically stable HSS in the slow limit.