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typo in report fixed
x_k depends only on the previous value of x i.e. x_{k-1}
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Report/report.tex

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@@ -113,7 +113,7 @@ \section*{Introduction}
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\subsection*{The discrete time non-linear system}
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Consider a non-linear system, defined by the following equations:
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\begin{equation}
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x_k = f(x_k) + V_k
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x_k = f(x_{k-1}) + V_k
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\end{equation}
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\begin{equation}
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y_k = h(x_{k}) + W_k

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