Other major tools for optimal growth theory: the Pontryagin maximum principle and the Dorfmanian

2016 ◽  
pp. 231-242
Author(s):  
Olivier de La Grandville
Keyword(s):  
Maximum Principle ◽  
Pontryagin Maximum Principle ◽  
Optimal Growth ◽  
Growth Theory ◽  
The Pontryagin Maximum Principle

WHY REGULARIZATION OF LAGRANGE PRINCIPLE AND PONTRYAGIN MAXIMUM PRINCIPLE IS NEEDED AND WHAT IT GIVES

2018 ◽  
pp. 757-775
Author(s):  
Mikhail Iosifovich Sumin
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Mathematical Programming ◽  
Optimality Conditions ◽  
Pontryagin Maximum Principle ◽  
Lagrange Principle ◽  
Convex Problems ◽  
The Pontryagin Maximum Principle

We consider the regularization of the classical Lagrange principle and the Pontryagin maximum principle in convex problems of mathematical programming and optimal control. On example of the “simplest” problems of constrained infinitedimensional optimization, two main questions are discussed: why is regularization of the classical optimality conditions necessary and what does it give?

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