Question: Problem 3. Consider the system x = xx2 a) Using the output y=x, can you design a controller by input-output linearization to globally stabilize

Problem 3. Consider the system x = xx2 a) Using the output y=x, can you design a controller by input-output linearization to globally stabilize the origin? b) Try y=ax + bx2. Determine if the system is input-output feedback linearized and any associated internal dynamics are stable.

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