Results 41 to 50 of about 69 (69)
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A Generalization of Michel’s Result on the Pontryagin Maximum Principle
Journal of Optimization Theory and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joël Blot, Hasan Yilmaz
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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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History of the Discovery of the Pontryagin Maximum Principle
Proceedings of the Steklov Institute of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Pontryagin Maximum Principle for Infinite-Dimensional Problems
SIAM Journal on Control and Optimization, 2011A 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 +2 more
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Pontryagin Maximum Principle on Almost Lie Algebroids
SIAM Journal on Control and Optimization, 2011The fundamental theorem of the theory of optimal control, the Pontryagin maximum principle (PMP), is extended to the setting of almost Lie (AL) algebroids, geometrical objects generalizing Lie algebroids. This formulation of the PMP yields, in particular, a scheme comprising reductions of optimal control problems similar to the reduction for the rigid ...
Janusz Grabowski, Michal Józwikowski
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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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On the Geometry of the Pontryagin Maximum Principle in Banach Spaces
Set-Valued and Variational Analysis, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krastanov, M. I. +2 more
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The pontryagin maximum principle applied to nonholonomic mechanics
2008 47th IEEE Conference on Decision and Control, 2008We 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 +2 more
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The Attainable Region and Pontryagin's Maximum Principle
Industrial & Engineering Chemistry Research, 1999Attainable region analysis has been used to solve a large number of previously unsolved optimization problems. This paper examines its relationship to Pontryagin's maximum principle and highlights the similarities and differences between the methods.
Craig McGregor +2 more
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