Results 141 to 150 of about 699 (184)

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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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 Generalization of Michel’s Result on the Pontryagin Maximum Principle

Journal of Optimization Theory and Applications, 2019
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Joël Blot, Hasan Yilmaz
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On a distributional version of Pontryagin's maximum Principle

Optimization, 1988
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Pontryagin Maximum Principle

2001
Pontryagin maximum principle is described.
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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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History of the Discovery of the Pontryagin Maximum Principle

Proceedings of the Steklov Institute of Mathematics, 2019
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A Pontryagin Maximum Principle for Infinite-Dimensional Problems

SIAM Journal on Control and Optimization, 2011
A basic idea of the classical approach for obtaining necessary optimality conditions in optimal control is to construct suitable “needle-like control variations.” We use this idea to prove the main result of the present paper—a Pontryagin maximum principle for infinite-dimensional optimal control problems with pointwise terminal constraints in ...
Mikhail Ivanov Krastanov, N. K. Ribarska, Ts. Y. Tsachev   +2 more
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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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The pontryagin maximum principle applied to nonholonomic mechanics

2008 47th IEEE Conference on Decision and Control, 2008
We introduce a method which allows one to recover the nonholonomic equations of motion of certain systems by instead finding a Hamiltonian via Pontryagin?s maximum principle on an enlarged phase space, and then restricting the resulting canonical Hamilton equations to an appropriate invariant submanifold of the enlarged phase space.
Oscar E. Fernandez, Anthony M. Bloch, Tom Mestdag   +2 more
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