Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations

In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform....

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Bibliographic Details
Published in:	Mathematical programming Vol. 168; no. 1-2; pp. 717 - 757
Main Authors:	Aronna, M. Soledad, Bonnans, J. Frédéric, Kröner, Axel
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2018 Springer Nature B.V Springer Verlag
Subjects:	Calculus of Variations and Optimal Control; Optimization Combinatorics Full Length Paper Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Nonlinear programming Numerical Analysis Operators (mathematics) Optimal control Optimization Optimization and Control Theoretical Wave equations Wave equation 49K20 Partial differential equations Heat equation Optimal control 35L05 Second-order optimality conditions 35K05 Semigroup theory 90C48 Bilinear control systems Goh transform second-order optimality conditions heat equation bilinear control systems wave equation partial differential equations semigroup theory
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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