added definition of infinity norm

MeierTobias · Apr 30, 2024 · b6fb7da · b6fb7da
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diff --git a/src/sections/MIMO_intro.tex b/src/sections/MIMO_intro.tex
@@ -671,6 +671,10 @@ \subsubsection{System Norms}
 \end{itemize}
 
 \paragraph[Hinf-induced Norm]{$\mathcal{H}_{\infty}$-norm}
+\noindent\begin{equation*}
+    \|\mathbf{G}\|_{\mathcal{H}_\infty} = \sup_{\omega}\sigma_{\max}\bigl(\mathbf{G}(j\omega)\bigr)
+\end{equation*}
+
 \ptitle{Computation}
 
 Again one wants to compute the norm in state space (instead of frequency domain) by using \textbf{bisection}: