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Titel
Optimal Control for a Class of Infinite Dimensional Systems Involving an L-term in the Cost Functional
Verfasser/ VerfasserinCourt, Sébastien ; Kunisch, Karl ; Pfeiffer, Laurent
Erschienen in
ZAMM, 2017, Jg. 98, H. 4, S. 569-588
ErschienenWILEYVCH Verlag, 2017
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Optimality conditions / PDE-constrained optimization / transversality conditions / hybrid optimal control problem
Projekt-/ReportnummerERC advanced Grant 668998 (OCLOC)
URNurn:nbn:at:at-ubg:3-5170 Persistent Identifier (URN)
DOI10.1002/zamm.201600199 
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Optimal Control for a Class of Infinite Dimensional Systems Involving an L-term in the Cost Functional [1.23 mb]
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Zusammenfassung (Englisch)

An optimal control problem with a time-parameter is considered. The functional to be optimized includes the maximum over time-horizon reached by a function of the state variable, and so an L-term. In addition to the classical control function, the time at which this maximum is reached is considered as a free parameter. The problem couples the behavior of the state and the control, with this time-parameter. A change of variable is introduced to derive first and second-order optimality conditions. This allows the implementation of a Newton method. Numerical simulations are developed, for selected ordinary differential equations and a partial differential equation, which illustrate the influence of the additional parameter and the original motivation.

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