The spatial AK model and the Pontryagin maximum principle

2016 ◽  
Vol 67 ◽  
pp. 87-94 ◽  
Author(s):  
Luca Vincenzo Ballestra
Author(s):  
Mikhail Iosifovich Sumin

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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