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Journal of Dynamic Systems Measurement, and Control, 2019
This paper presents a study of the energy-efficient operation of all-electric vehicles leveraging route information, such as road grade, to adjust the velocity trajectory.
H. Abbas +3 more
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This paper presents a study of the energy-efficient operation of all-electric vehicles leveraging route information, such as road grade, to adjust the velocity trajectory.
H. Abbas +3 more
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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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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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Aeronautical Journal, 1972
The many methods by which Pontryagin's Maximum Principle is applied in optimal control problems can be divided into two groups, termed direct and indirect. The indirect methods use the conditions required for mathematical optimality as the starting point
L. Dixon, M. C. Biggs
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The many methods by which Pontryagin's Maximum Principle is applied in optimal control problems can be divided into two groups, termed direct and indirect. The indirect methods use the conditions required for mathematical optimality as the starting point
L. Dixon, M. C. Biggs
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On the Proof of Pontryagin’s Maximum Principle by Means of Needle Variations
, 2014We propose a proof of the maximum principle for the general Pontryagin type optimal control problem, based on packets of needle variations. The optimal control problem is first reduced to a family of smooth finite-dimensional problems, the arguments of ...
A. Dmitruk, N. Osmolovskii
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