The use of the Pontryagin maximum principle in a furtivity problem in time-dependent acoustic obstacle scattering

2001 ◽  
Vol 11 (4) ◽  
pp. 549-575 ◽  
Author(s):  
Francesca Mariani ◽  
Maria Cristina Recchioni ◽  
Francesco Zirilli
Keyword(s):  
Maximum Principle ◽  
Pontryagin Maximum Principle ◽  
Time Dependent ◽  
The Pontryagin Maximum Principle ◽  
Obstacle Scattering

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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