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Course Weekly Lecture Plan

Week Topic
1 Introduction to Optimal Control Problem and classifications
2 The parameter optimization by the method of Lagrange multipliers in optimal control problem
3 The parameter optimization by the method of Lagrange multipliers in optimal control problem
4 The performance indices in optimal control problem and Dynamic Programming
5 The performance indices in optimal control problem and Dynamic Programming
6 The calculus of variations and Euler Equations
7 The calculus of variations and Euler Equations
8 The application of the calculus of variations to basic optimal control problem
9 Pontragin’s minimum principle and solutions for the minimum time and control effort problems
10 Pontragin’s minimum principle and solutions for the minimum time and control effort problems
11 The Hamilton-Jacobi-Bellmann approach
12 Linear Quadratic Optimal Control Problem (The Matrix Riccati equation)
13 Linear Quadratic Optimal Control Problem (The Algebraic Riccati equation)
14 Numerical methods for optimal control problem
 
 
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