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(Solved): Consider a second order system whose state space representation is of the form \( \boldsymbol{x}=\b ...




Consider a second order system whose state space representation is of the form \( \boldsymbol{x}=\boldsymbol{A} \boldsymbol{x
Consider a second order system whose state space representation is of the form \( \boldsymbol{x}=\boldsymbol{A} \boldsymbol{x}+\boldsymbol{B} \boldsymbol{u} \). Where \( \boldsymbol{A}=\left[\begin{array}{ll}a_{11} & a_{12} \\ a_{21} & a_{22}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{l}b_{1} \\ b_{2}\end{array}\right] \) and \( x_{1}(t)=x_{2}(t) \). From the information given which one of the following options best describes the system? a. Controllable b. Uncontrollable c. Observable d. None of the given options


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Solution: The correct option is B uncontrollabl
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