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Lecture 16: Controllability and Observability Canonical ...
Canonical Decompositions The Canonical Decompositions of state equations will establish the relationship between Controllability, Observability , and a transfer matrix and its minimal realisations. Consider the state equation x = Ax + Bu y = Cx + Du where A 2 Rn n;B 2 Rn p; C 2 Rp n;D 2 Rq p: (SE) Let xfl = Px, where P is nonsingular, P 2 Rn n ...
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