Un commit depus la Chine, Q1 repondu

latex/contents.tex

@@ -4,9 +4,16 @@ Une introduction
 \newpage
 \section{Dynamique du système avec équations differentielles partielles}
 \subsection{Espace d'état}
-L'espace d'état se trouve sous la forme:
+\textbf{Question 1}
 
+L'espace d'état se trouve sous la forme:
 \begin{center}
+\begin{equation}
+\rho(\zeta)\frac{\partial^2 w}{\partial t^2}(\zeta,t) = -\frac{\partial^2}{\partial \zeta	^2}\begin{bmatrix}
+EI(\zeta	)\frac{\partial^2}{\partial \zeta^2}(\zeta,t) 
+\end{bmatrix}
+-q(\zeta,t)
+\end{equation}
 $E =$
 \[   
 \begin{bmatrix}
@@ -16,9 +23,47 @@ $E =$
     -13/420 & -11/210 & -1/140 & 1/105
 \end{bmatrix}
 \]
-\end{center}
+\begin{equation}
+x_1(\zeta,t)=\frac{\partial^2 w}{\partial \zeta	^2}(\zeta,t) \;
+x_2(\zeta,t)=\rho(\zeta)\frac{\partial w}{\partial t}(\zeta,t)
+\end{equation}
 
-Salut Thibo
+\begin{equation}
+e_1(\zeta,t)=EI(\zeta)x_1(\zeta,t) \;
+e_2(\zeta,t)=\frac{1}{\rho(\zeta)}x_2(\zeta,t)
+\end{equation}
+
+\begin{equation}
+\dot{x}(t)=\begin{bmatrix}
+
+\dot{x}_1 \\
+\dot{x}_2
+\end{bmatrix}
+= \frac{\partial^2}{\partial z^2} 
+\begin{bmatrix}
+0 & 1 \\
+-1 & 0 
+\end{bmatrix}
+\begin{bmatrix}
+e_1(\zeta,t) & e_2(\zeta	,t) 
+\end{bmatrix}
++
+\begin{bmatrix}
+0  \\
+-q(\zeta,t) 
+\end{bmatrix}
+\end{equation}
+\end{center}
+Voici la represntation d'état à partir des equations diferentielles.
+
+
+\textbf{Question 2}
+
+
+Comment ajouter un image:
+
+\includegraphics[scale=1]{./Illustrations/im1.png}
+Les Poles du système avec retour d'état.
 
 \section{Une autre section}
 \begin{figure}[h]

latex/main.aux

@@ -14,16 +14,16 @@
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-\@writefile{toc}{\contentsline {section}{Conclusion}{4}{section*.2}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{Conclusion}{5}{section*.2}\protected@file@percent }
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latex/main.toc

@@ -2,8 +2,8 @@
 \contentsline {section}{Introduction}{1}{section*.1}%
 \contentsline {section}{\numberline {1}Dynamique du système avec équations differentielles partielles}{2}{section.1}%
 \contentsline {subsection}{\numberline {1.1}Espace d'état}{2}{subsection.1.1}%
-\contentsline {section}{\numberline {2}Une autre section}{2}{section.2}%
+\contentsline {section}{\numberline {2}Une autre section}{3}{section.2}%
-\contentsline {section}{\numberline {3}Another section}{3}{section.3}%
+\contentsline {section}{\numberline {3}Another section}{4}{section.3}%
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+\contentsline {section}{Conclusion}{5}{section*.2}%