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Consider the uncontrollable state equation

2400_uncontrollable state equation.png

Is it possible to find a gain k so that the equation with state feedback u = r - kx has eigenvalues -2, -2, -1, -1? Is it possible to have eigenvalues -2, -2, -2, -1? How about -2, -2, -2, -2? Is the equation stabilizable?

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