Controllability and Observability of Inverted Pendulum on Cart            

Q1. What are the eigen values of the given matrix?
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Q2. What is the rank of given matrix?
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Q3. What is the controllability matrix of the given state equation?

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Q4. Consider the system

Is this system controllable and observable?
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Q5. What is the state equation of a linear time varying discrete time system?

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