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Determine conditions on b, b, C, and c so that the following system is both controllable and observable: A = 1 1] . C

  

Determine conditions on b, b, C, and c so that the following system is both controllable and observable: A = 1 1] . C = [c C] [Hint: Search and find the conditions for a linear system to be controllable (the controllability matrix) and the conditions for a linear system to be observable (the observability matrix)]

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