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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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Pontryagin’s maximum principle for constrained impulsive control problems

Nonlinear Analysis: Theory, Methods & Applications, 2012
A V Arutyunov, Fernando Lobo Pereira
exaly  

Dual formulation of the Pontryagin maximum principle in optimal control

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

On the Pontryagin Maximum Principle

1963
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Pontryagin maximum principle for fractional ordinary optimal control problems

, 2014
R. Kamocki
semanticscholar   +1 more source

Application of the Pontryagin maximum principle to the time-optimal control in a chain of three spins with unequal couplings

, 2014
L. V. Damme, R. Zeier, S. Glaser, D. Sugny   +3 more
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Pontryagin Maximum Principle

2012
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Regularizing properties of Pontryagin’s maximum principle

Russian Mathematics, 2008
M. I. Sumin, E. V. Trushina
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Optimal Contract Design of Supplier-Led Outsourcing Based on Pontryagin Maximum Principle

Journal of Optimization Theory and Applications, 2014
Jianxiong Zhang, Lin Feng, Wansheng Tang
semanticscholar   +1 more source