Kalman's Theorem is a foundational result in control theory that provides necessary and sufficient conditions for the observability of a linear dynamic system. This theorem states that a system is observable if the observability matrix, constructed from the system's state and output matrices, has full rank. It connects closely with controllability, establishing key insights into how the internal state of a system can be inferred from its outputs.
congrats on reading the definition of Kalman's Theorem. now let's actually learn it.