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8 The Pontryagin Maximum Principle

1967
Publisher Summary This chapter presents a reformulation of the proof of the Pontryagin maximum principle and applies these techniques to give a proof of the bang-bang principle. The objective in reformulating the proof of the Pontryagin maximum principle is to emphasize one central fact.
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Proof of the Pontryagin maximum principle

1991
Abstract We now have to justify the PMP, which we stated in Chapter 6 and extended in Chapter 7. First we show that the PMP applied to linear autonomous time-optimal control problems is identical to the maximum principle TOP established in Part A. Then we outline the proof of the PMP in its basic form as defined in Chapter 6.
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A Pontryagin’s maximum principle and optimal control model with cost-effectiveness analysis of the COVID-19 epidemic

Decision Analytics Journal, 2023
Cw Chukwu
exaly  

Controlled singular evolution equations and Pontryagin type maximum principle with applications

Evolution Equations and Control Theory, 2022
Juan J Nieto, Ivan Area, Xiao-Li Ding
exaly  

Pontryagin’s maximum principle for constrained impulsive control problems

Nonlinear Analysis: Theory, Methods & Applications, 2012
D Yu Karamzin, A V Arutyunov
exaly  

Dual formulation of the Pontryagin maximum principle in optimal control

Proceedings of the Steklov Institute of Mathematics, 2016
R V Gamkrelidze
exaly  

Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales

SIAM Journal on Control and Optimization, 2013
Emmanuel Trelat, Loïc Bourdin
exaly  

Regularizing properties of Pontryagin’s maximum principle

Russian Mathematics, 2008
M. I. Sumin, E. V. Trushina
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On the Pontryagin Maximum Principle

1963
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Pontryagin Maximum Principle

2012
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