From 6b1a85cf5ef45f4b1bfe55ebde55f515d462be71 Mon Sep 17 00:00:00 2001
From: Dane Sabo <dane.sabo@pitt.edu>
Date: Thu, 29 Aug 2024 15:58:43 -0400
Subject: [PATCH] vault backup: 2024-08-29 15:58:43

---
 .obsidian/hotkeys.json                       | 10 +++++++++-
 .obsidian/workspace.json                     |  2 +-
 4. Qualifying Exam/2. Writing/QE Abstract.md |  2 +-
 3 files changed, 11 insertions(+), 3 deletions(-)

diff --git a/.obsidian/hotkeys.json b/.obsidian/hotkeys.json
index 7205b2799..bea04ea5a 100755
--- a/.obsidian/hotkeys.json
+++ b/.obsidian/hotkeys.json
@@ -159,5 +159,13 @@
   ],
   "editor:open-search-replace": [],
   "editor:insert-link": [],
-  "editor:toggle-checklist-status": []
+  "editor:toggle-checklist-status": [],
+  "editor:toggle-strikethrough": [
+    {
+      "modifiers": [
+        "Mod"
+      ],
+      "key": "-"
+    }
+  ]
 }
\ No newline at end of file
diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index cfd16c6b2..44279000d 100755
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -163,7 +163,7 @@
       }
     ],
     "direction": "horizontal",
-    "width": 245.5
+    "width": 343.5
   },
   "left-ribbon": {
     "hiddenItems": {
diff --git a/4. Qualifying Exam/2. Writing/QE Abstract.md b/4. Qualifying Exam/2. Writing/QE Abstract.md
index bf377e90f..5a063b7bd 100644
--- a/4. Qualifying Exam/2. Writing/QE Abstract.md	
+++ b/4. Qualifying Exam/2. Writing/QE Abstract.md	
@@ -4,7 +4,7 @@
 <mark style="background: #FFB86CA6;">Examining the robustness of a <mark style="background: #FFF3A3A6;">controller</mark> requires additional mathematical formalism of a system, and analysis of perturbations to a nominal plant model.</mark>
 <mark style="background: #FF5582A6;">Perturbations can be considered as two forms--structured and unstructured perturbation.</mark>
 <mark style="background: #ADCCFFA6;">Unstructured perturbation in particular allows the perturbation to take on any transfer function (or transfer matrix), such that the gain of the transfer function remains less than one.</mark>
-If a controlled system remains stable for the nominal plant and all possible perturbations, it is considered robust.
+If a <mark style="background: #FFB86CA6;">controlled system</mark> remains stable for the ~~nominal plant and all possible perturbations~~ all possible perturbations within the set, it is considered robust.
 To actually validate this statement with actual perturbations is a difficult problem.
 Generating perturbations is not trivial because there is so much possibility for the form of an unstructured perturbation.
 For an engineer to accomplish this task today one of two things happens: