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Update EE402_Lecture_12.tex #33

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Update EE402_Lecture_12.tex
ysfemregultekin Jan 15, 2025
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Merge branch 'master' into patch-1
mertankarali Jan 10, 2026
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6 changes: 3 additions & 3 deletions METU-EE402/Lecture 12/EE402_Lecture_12.tex
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Original file line number Diff line number Diff line change
Expand Up @@ -112,7 +112,7 @@ \section*{State-Space Representation of DT Systems}
%
\begin{itemize}
\item $m = r = 1$, the system represents a SISO system
\item $m > 1 \ , \ r < 1$, the system represents a MIMO system
\item $m > 1 \ , \ r > 1$, the system represents a MIMO system
\item $m = 1 \ , \ r > 1$, the system represents a MISO system
\item $m > 1 \ , \ r = 1$, the system represents a SIMO system
\end{itemize}
Expand Down Expand Up @@ -196,7 +196,7 @@ \subsubsection*{Reachable/Controllable Canonical Form}
\\ 1 \end{array} \right] u[k]
\\
y[k] &= \left[ \begin{array}{ccc} (b_3 - b_0 a_3) & (b_2 - b_0 a_2) &
(b_1 - b_0 a_1) \end{array} \right]
(b_1 - b_0 a_1) \end{array} \right] x[k]
+ b_0 u[k]
\end{align*}
%
Expand Down Expand Up @@ -287,7 +287,7 @@ \subsubsection*{Observable Canonical Form}
\left[ \begin{array}{c} b_3 - b_0 a_3 \\ b_2 - b_0 a_2
\\ b_1 - b_0 a_1 \end{array} \right] u[k]
\\
y[k] &= \left[ \begin{array}{ccc} 0 & 0 & 1 \end{array} \right]
y[k] &= \left[ \begin{array}{ccc} 0 & 0 & 1 \end{array} \right] x[k]
+ b_0 u[k]
\end{align*}
%
Expand Down