Data-Driven Tests for Controllability Vrije Universiteit Brussel
The fundamental lemma due to Willems et al. “A note on persistency of excitation”, Syst. Control Lett., vol. 54, no. 4, pp. 325–329, 2005 plays an important role in system identification and data-driven control. One of the assumptions for the fundamental lemma is that the underlying linear time-invariant system is controllable. In this paper, the fundamental lemma is extended to address system identification for uncontrollable systems. Then, a ...