NDLI: $$k$$ -Symplectic Pontryagin’s Maximum Principle for some families of PDEs

Content Provider	Springer Nature Link
Author	Muñoz Lecanda, M. C. Barbero Liñán, M.
Copyright Year	2013
Abstract	An optimal control problem associated with the dynamics of the orientation of a bipolar molecule in the plane can be understood by means of tools in differential geometry. For first time in the literature $$k$$ -symplectic formalism is used to provide the optimal control problems associated to some families of partial differential equations with a geometric formulation. A parallel between the classic formalism of optimal control theory with ordinary differential equations and the one with particular families of partial differential equations is established. This description allows us to state and prove Pontryagin’s Maximum Principle on $$k$$ -symplectic formalism. We also consider the unified Skinner-Rusk formalism for optimal control problems governed by an implicit partial differential equation.
Ending Page	1221
Page Count	23
Starting Page	1199
File Format	PDF
ISSN	09442669
e-ISSN	14320835
Journal	Calculus of Variations and Partial Differential Equations
Issue Number	3-4
Volume Number	49
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-04-05
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Theoretical, Mathematical and Computational Physics PDEs in connection with control and optimization Systems governed by partial differential equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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