(a) A linear time invariant system is described by the following state model. $$ \begin{gathered} X=\left[\begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -6 & -11 & -6 \end{array}\right] x+\left[\begin{array}{l} 0 \\ 0 \\ 2 \end{array}\right] u \\ Y=\left[\begin{array}{lll} 10 & 0 & 0 \end{array}\right] x \end{gathered} $$ Transform this state model into canonical state model. Also compute the state transition matrix, $e^{A t}$.
Explanation
The given state model is transformed into canonical state model using the modal matrix P and its inverse P^-1. The state transition matrix e^(At) is also computed using the canonical state model.
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