tool · 2026-11-03

Discrete-time stability explorer

Change one parameter and see convergence, oscillation or divergence in a scalar system.

This small educational tool simulates x[k+1] = a x[k]. It illustrates asymptotic stability for |a| < 1, marginal cases at |a| = 1, and divergence for |a| > 1. It is an illustrative scalar model, not a vehicle simulation.