From 47e579fcca722211015d4b6b19f2b318e860c56d Mon Sep 17 00:00:00 2001
From: Olivier Cots <61-ocots@users.noreply.022e47118ec0>
Date: Fri, 26 Mar 2021 10:51:59 +0000
Subject: [PATCH] Update lecture1.md

---
 course/lecture/lecture1.md | 12 +++++++++++-
 1 file changed, 11 insertions(+), 1 deletion(-)

diff --git a/course/lecture/lecture1.md b/course/lecture/lecture1.md
index 88a7338..1cf2153 100644
--- a/course/lecture/lecture1.md
+++ b/course/lecture/lecture1.md
@@ -5,6 +5,10 @@
 
 ------
 
+[Part II](lecture2.md)
+
+------
+
 **_Abstract_**
 
 We present in this notebook the **indirect simple shooting** method based on the [Pontryagin Maximum Principle (PMP)](https://en.wikipedia.org/wiki/Pontryagin%27s_maximum_principle) to solve a smooth optimal control problem. By smooth, we mean that the maximization condition of the PMP gives a control law in feedback form (i.e. with respect to the state and the costate) at least [continuously differentiable](https://en.wikipedia.org/wiki/Smoothness#Differentiability_classes).
@@ -18,7 +22,7 @@ The goal of this presentation is that at the end, you will be able to implement
 **_Contents_**
 
 [[_TOC_]]
-    
+
 ## I) Statement of the optimal control problem and necessary conditions of optimality
 
 ### a) Definition of the optimal control problem
@@ -300,3 +304,9 @@ Computing we get,
 ```math
     u(t) = p(t) = (0, \frac{1}{t_f}), \quad \lambda = \frac{1}{t_f}, \quad x(t) = (t, \frac{t}{t_f}).
 ```
+
+------
+
+[Part II](lecture2.md)
+
+------
-- 
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