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- W2332830963 abstract "Optimal control problems with fixed terminal time are considered formulti-input bilinear systems with the control set given by a compact intervaland the objective function affine in the controls. Systems of this type havebeen widely used in the modeling of cell-cycle specific cancer chemotherapyover a prescribed therapy horizon for both homogeneous and heterogeneous tumorpopulations. Necessary conditions for optimality lead to concatenations ofbang and singular controls as prime candidates for optimality. In this paper,the method of characteristics will be formulated as a general procedure toembed such a controlled reference extremal into a field of broken extremals.Sufficient conditions for the strong local optimality of a controlledreference bang-bang trajectory will be formulated in terms of solutions to associatedsensitivity equations. These results will be applied to a model for cell cycle specificcancer chemotherapy with cytotoxic and cytostatic agents." @default.
- W2332830963 created "2016-06-24" @default.
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- W2332830963 date "2015-01-01" @default.
- W2332830963 modified "2023-09-26" @default.
- W2332830963 title "Fields of extremals and sensitivity analysis for multi-input bilinear optimal control problems" @default.
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- W2332830963 doi "https://doi.org/10.3934/dcds.2015.35.4611" @default.
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