May I ask from the linear control theory community whether the solution of the following problem are available in the literature?
My system is $ E \dot x=Ax+Bu$ , $ E,A$ are $ m\times n$ , $ m\ne n$ matrices and there is no special assumption is made on the $ \lambda E-A$ matrix pencil.
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Detectability is necessary but not sufficient condition for the existence of Luenberger observer.
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Causal Detectability is necessary and sufficient condition for the existence of Luenberger observer.
It will be great if I get some references/texts regarding these observer design line which shows the light on my asked questions. Thanks for helping.
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