Question 12.5.3: Consider the system (12.5-1), where u(kT) = 0, ∀k, and A=[1 ...
Consider the system (12.5-1), where u(kT) = 0, ∀k, and
x(k+1)=Ax(k)+Bu(k), x(0)=x_0 (12.5-1a)
y(k)=Cx(k) (12.5-1b)
A=\left[\begin{matrix} 1& 0\\1&1\end{matrix}\right] , c=\left[\begin{matrix}0\\ 1\end{matrix} \right]
The output sequence of the system is {y(0), y(1)} = {1, 1.2}. Find the initial state x(0) of the system.
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