Reachability and Controllability with Cayley-Hamilton [Control Bootcamp]

Here we use the Cayley-Hamilton Theorem to show that the full state space is reachable if and only if the system is controllable.

These lectures follow Chapter 8 from:
"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz

Amazon:

Chapters available at:
Book Website:
Brunton Website: eigensteve.com

Control,control theory,Linear algebra,Eigenvalues,Closed-loop,Feedback,Controllability,Reachability,Applied Math,Matlab,SVD,Singular value decomposition,Controllability Gramian,Gramian,