Determine the controllability and observability of the system [ begin{aligned} left{begin{array}{l} dot{x}_{1}(t) dot{x}_{2}(t) end{array} ight} &

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Determine the controllability and observability of the system

\[ \begin{aligned} \left\{\begin{array}{l} \dot{x}_{1}(t) \\ \dot{x}_{2}(t) \end{array}\right\} & =\left[\begin{array}{cc} 0 & 1 \\ -2 & -3 \end{array}\right]\left\{\begin{array}{l} x_{1}(t) \\ x_{2}(t) \end{array}\right\} \\ & +\left\{\begin{array}{c} 0 \\ 1 \end{array}\right\} u(t) \\ y(t)= & {\left[\begin{array}{ll} 1 & 1 \end{array}\right]\left\{\begin{array}{l} x_{1}(t) \\ x_{2}(t) \end{array}\right\} } \end{aligned} \]

If the system is uncontrollable or unobservable, explain why.

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Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

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