Results 131 to 140 of about 661 (188)
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2004
In this chapter we prove the fundamental necessary condition of optimality for optimal control problems — Pontryagin Maximum Principle (PMP). In order to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter.
Andrei A. Agrachev, Yuri L. Sachkov
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In this chapter we prove the fundamental necessary condition of optimality for optimal control problems — Pontryagin Maximum Principle (PMP). In order to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter.
Andrei A. Agrachev, Yuri L. Sachkov
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The Pontryagin Maximum Principle
2021This chapter is devoted to a qualitative analysis of some adjoint linear dynamics. We investigate the free endpoint control problem. In this chapter, we define the simple variation of a control. We study the variation of the terminal payoff. The Pontryagin maximum principle is deducted.
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A New Discrete Anologue of Pontryagin’s Maximum Principle
Доклады академии наук, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mardanov, M. J., Melikov, T. K.
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A Discrete Version of Pontryagin's Maximum Principle
Operations Research, 1967A 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pontryagin maximum principle, relaxation, and controllability
Doklady Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avakov, E. R., Magaril-Il'yaev, G. G.
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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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The Maximum Principle (Pontryagin)
2017A 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, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avakov, E. R., Magaril-Il'yaev, G. G.
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