scholarly journals Development of a mathematical model of the heating phase of rubber mixture and development of the synthesis of the heating control algorithm using the Pontryagin maximum principle

2017 ◽  
Vol 79 (2) ◽  
pp. 80-87
Author(s):  
V. S. Kudryashov ◽  
M. V. Alekseev ◽  
A. A. Yudakov
Keyword(s):  
Mathematical Model ◽  
Maximum Principle ◽  
Pontryagin Maximum Principle ◽  
Control Algorithm ◽  
Rubber Mixture ◽  
Heating Phase ◽  
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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