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The Pontryagin Maximum Principle and Transversality Conditions for a Class of Optimal Control Problems with Infinite Time Horizons

SIAM Journal on Control and Optimization, 2004
S. Aseev, A. Kryazhimskiy
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The Maximum Principle (Pontryagin)

2017
A general method able to meet the technical requirements of the process control has been developed between 1956 and 1960 by L.S. Pontryagin and his collaborators. The theory based on this method is presently considered the most powerful mathematical tool that can be used to solve optimal control problems with constraints expressed by ordinary ...
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On the Geometry of the Pontryagin Maximum Principle in Banach Spaces

Set-Valued and Variational Analysis, 2015
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Krastanov, M. I., Ribarska, N. K., Tsachev, T. Y.   +2 more
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On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems

Differential equations, 2023
M. Gomoyunov
semanticscholar   +1 more source

The Attainable Region and Pontryagin's Maximum Principle

Industrial & Engineering Chemistry Research, 1999
Attainable region analysis has been used to solve a large number of previously unsolved optimization problems. This paper examines its relationship to Pontryagin's maximum principle and highlights the similarities and differences between the methods.
Craig McGregor, David Glasser, Diane Hildebrandt   +2 more
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Pontryagin Maximum Principle

1962
Publisher Summary This chapter describes the development of the Pontryagin maximum principle in a manner similar to that of Rozonoer and compares it with better-known approaches to the solution of variational problems. The maximum principle is developed by using Bellman's dynamic programming technique.
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On Discrete Analogues of Pontryagin's Maximum Principle†

International Journal of Control, 1965
ABSTRACT A discrete form of Pontryagin's Maximum Principle recently proposed by a number of authors, is shown to be fallacious and a corresponding correct but weaker result is derived. Certain classes of problem are identified for which the original strongor result is valid.
R. JACKSON, F. HORN
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Proof of the maximum principle of Pontryagin

1993
Abstract We now turn to the proof of Theorem 4.1, the Pontryagin maximum principle. The reader may find it helpful to read the outline proof in Chapter 4 before starting this chapter.
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On certain minimax problems and Pontryagin’s maximum principle

Calculus of Variations and Partial Differential Equations, 2009
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The basic Pontryagin maximum principle

1991
Abstract In this chapter we state the Pontryagin maximum principle (PMP) in its simplest form and use it to solve some simple examples. Extensions to a less restricted class of problems are discussed in Chapter 7, but the proof of the PMP is postponed to Chapter 9.
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