Results 141 to 150 of about 2,406 (195)

A New Discrete Anologue of Pontryagin’s Maximum Principle

Доклады академии наук, 2018
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Mardanov, M. J., Melikov, T. K.
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A Discrete Version of Pontryagin's Maximum Principle

Operations Research, 1967
A basic algorithm of a discrete version of the maximum principle and its simplified derivation are presented. An example is solved to illustrate the use of the algorithm.
Hwang, C. L., Fan, L. T.
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Pontryagin Maximum Principle Revisited with Feedbacks

European Journal of Control, 2011
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Pontryagin Maximum Principle

2001
Pontryagin maximum principle is described.
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Pontryagin maximum principle, relaxation, and controllability

Doklady Mathematics, 2016
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Avakov, E. R., Magaril-Il'yaev, G. G.
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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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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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Mix of Controls and the Pontryagin Maximum Principle

Journal of Mathematical Sciences, 2016
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Avakov, E. R., Magaril-Il'yaev, G. G.
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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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An Elementary Proof of the Pontryagin Maximum Principle

Vietnam Journal of Mathematics, 2020
The subject is the standard control problem for systems of ODE \begin{gather*} \begin{aligned} \text{minimize} & \quad \ell_0(x(0), x(T)) \\ \text{subject to} & \quad x'(t) = f(t, x(t), u(t)) \quad (u(t) \in U) \end{aligned} \\ \ell_j(x(0), x(T)) \le 0 \quad j = 1,\dots ,l \, , \quad \ell_j(x(0), x(T)) = 0 \quad j = l+1,\dots ,r \, . \end{gather*} If \(
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