Correct hinf notation

index.org

@@ -56,7 +56,7 @@ It consists of three steps:
    - _Specifications_: Response Time, Noise Rejection, Maximum input amplitude, Robustness, ...
    - _Mathematical Criteria_: Cost Function, Shape of TF
    # - Cost Function, Needed Bandwidth, Roll-off, ...
-   # - $\Longrightarrow$ We will use the $\hinf$ Norm
+   # - $\Longrightarrow$ We will use the $\mathcal{H}_\infty$ Norm
 3. *Synthesis*: research of $K$ that satisfies the specifications for the model of the system
 
 #+begin_src latex :file control-procedure.pdf
@@ -195,19 +195,19 @@ The maximum value of the magnitude over all frequencies does correspond to the $
 * $\mathcal{H}_\infty$ Synthesis
 
 *Optimization problem*:
-$\hinf$ synthesis is a method that uses an *algorithm* (LMI optimization, Riccati equation) to find a controller of the same order as the system so that the $\hinf$ norms of defined transfer functions are minimized.
+$\mathcal{H}_\infty$ synthesis is a method that uses an *algorithm* (LMI optimization, Riccati equation) to find a controller of the same order as the system so that the $\mathcal{H}_\infty$ norms of defined transfer functions are minimized.
 
 *Engineer work*:
-1. Write the problem as standard $\hinf$ problem
-2. Translate the specifications as $\hinf$ norms
+1. Write the problem as standard $\mathcal{H}_\infty$ problem
+2. Translate the specifications as $\mathcal{H}_\infty$ norms
 3. Make the synthesis and analyze the obtain controller
 4. Reduce the order of the controller for implementation
 
-*Many ways to use the $\hinf$ Synthesis*:
-- Traditional $\hinf$ Synthesis
+*Many ways to use the $\mathcal{H}_\infty$ Synthesis*:
+- Traditional $\mathcal{H}_\infty$ Synthesis
 - Mixed Sensitivity Loop Shaping
-- Fixed-Structure $\hinf$ Synthesis
-- Signal Based $\hinf$ Synthesis
+- Fixed-Structure $\mathcal{H}_\infty$ Synthesis
+- Signal Based $\mathcal{H}_\infty$ Synthesis
 
 * The Generalized Plant
 #+begin_src latex :file general_plant.pdf