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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| Veröffentlicht in: | Mathematical programming 2018-03, Vol.168 (1-2), p.717-757 |
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| creator | Aronna, M. Soledad Bonnans, J. Frédéric Kröner, Axel |
| description | 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. We then apply the results to the heat and wave equations. |
| doi_str_mv | 10.1007/s10107-016-1093-4 |
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| ispartof | Mathematical programming, 2018-03, Vol.168 (1-2), p.717-757 |
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| 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 |
| title | Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations |
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