Results 51 to 60 of about 69 (69)
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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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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 Principleâ€
International Journal of Control, 1965ABSTRACT 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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A simple proof of the Pontryagin maximum principle on manifolds
Automatica, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Proof of the maximum principle of Pontryagin
1993Abstract 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, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The basic Pontryagin maximum principle
1991Abstract 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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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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