Chapter 1 Introduction
1��1 Brief history of the optimal control theory
1��2 Basic concepts of the control theory
1��3 Optimal control problem
1��4 Some background on finite-dimensional optimization

Chapter 2 Calculus of Variations in Optimal Control
2��1 Foundations of variation
2��2 The Euler-Lagrange equation
2��3 Optimal control problem based on variation
2��4 Summary for chapter 2
2��5 Exercise for chapter 2

Chapter 3 The Maximum Principle
3��1 The limitation of classical variation in optimal control
3��2 The maximum principle for continuous systems
3��3 Two applications of the minimum principle
3��4 Summary for chapter 3
3��5 Exercise for chapter 3

Chapter 4 Dynamic Programming
4��1 The basic principle of dynamic programming
4��2 Dynamic programming of discrete system
4��3 Dynamic programming of continuous system
4��4 The relation between dynamic programming and variational method and maximum value principle
4��5 Summary for chapter 4
4��6 Exercise for chapter 4

Chapter 5 Linear Quadratic Optimal Control Problem
5��1 Linear quadratic problem
5��2 State adjuster
5��3 Output regulator
5��4 Output tracker
5��5 Linear quadratic optimal control of discrete system
5��6 Summary for chapter 5
5��7 Exercise for chapter 5
References