The Pole's Shadow: The distance of dominant poles from the imaginary axis sets the cognitive budget of linear systems. Determines how long they can remember and integrate slow inputs before transients decay. Explores the robustness vs memory tradeoff with theory, math, simulations and visualizations.
dynamical-systems linear-systems echo-state-networks reservoir-computing temporal-integration control-theory stability-analysis pole-placement pole-shadow fading-memory cognitive-budget robustness-tradeoff
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Updated
Apr 6, 2026 - Python