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Let AāMn(R),CāMpĆn(R)A\in M_{n}(\mathbb{R}),C\in M_{p\times n}(\mathbb{R})AāMnā(R),CāMpĆnā(R). Then (C,A)(C,A)(C,A) is called detectable AĖ22\bar{A}_{22}AĖ22ā in its Observability Normal Form is Hurwitz or AĖ22\bar{A}_{22}AĖ22ā does not exist.
Design of Observer-based controllers
Luenberger Observer