Geometric Approach to Pontryagin’s Maximum Principle

Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we focus on the proof and on the understanding of this Principle, using as much geo...

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Bibliographic Details
Published in:	Acta applicandae mathematicae Vol. 108; no. 2; pp. 429 - 485
Main Authors:	Barbero-Liñán, M., Muñoz-Lecanda, M. C.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.11.2009 Springer Nature B.V
Subjects:	34 Ordinary differential equations 34A General theory 49 Calculus of variations and optimal control; optimization 49J Existence theories 49K Necessary conditions and sufficient conditions for optimality 93 Systems Theory; Control 93C Control systems, guided systems Aircraft Applications of Mathematics Applied mathematics Calculus of Variations and Optimal Control; Optimization Classificació AMS Computational Mathematics and Numerical Analysis Control Control theory Differential equations Equacions diferencials ordinàries Flow control Geometry Mathematical analysis Mathematical optimization Mathematics Mathematics and Statistics optimal control problems Optimització matemàtica Optimization Partial Differential Equations perturbation vectors Pontryagin's Maximum Principle Probability Theory and Stochastic Processes Robotics Sistemes de control Studies System theory tangent perturbation cones 49J30 Optimal control problems 34A12 93C15 Pontryagin’s maximum principle Perturbation vectors 49K05 49K15 Tangent perturbation cones 49J15
ISSN:	0167-8019, 1572-9036, 1572-9036
Online Access:	Get full text
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