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On certain minimax problems and Pontryagin’s maximum principle
Calculus of Variations and Partial Differential Equations, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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8 The Pontryagin Maximum Principle
1967Publisher 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
1991Abstract 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, 2012D Yu Karamzin, A V Arutyunov, F Pereira
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A Simple Proof of the Discrete Time Geometric Pontryagin Maximum Principle on Smooth Manifolds
Automatica, 2020Debasish Chatterjee, Ravi N Banavar
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Pontryagin’s Maximum Principle for Multiple Integrals
Lecture Notes in Control and Information Sciences, 1992Rolf Klötzler
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Discrete Time Pontryagin Maximum Principle Under State-Action-Frequency Constraints
IEEE Transactions on Automatic Control, 2019Debasish Chatterjee, Pradyumna Paruchuri
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