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• W2904139432 abstract "We analyze the sensitivity of linear quadratic optimal control problems governed by general evolution equations with bounded or admissible control operator. We show, that if the problem is stabilizable and detectable, the solution of the extremal equation can be bounded by the right-hand side including initial data with the bound being independent of the time horizon. Consequently, the influence of perturbations of the extremal equations decays exponentially in time. This property can for example be used to construct efficient space and time discretizations for a Model Predictive Control scheme. Furthermore, a turnpike property for unbounded but admissible control of general semigroups can be deduced." @default.
• W2904139432 created "2018-12-22" @default.
• W2904139432 creator A5002858094 @default.
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• W2904139432 date "2020-06-01" @default.
• W2904139432 modified "2023-10-17" @default.
• W2904139432 title "Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations" @default.
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• W2904139432 doi "https://doi.org/10.1016/j.jde.2019.11.064" @default.
• W2904139432 hasPublicationYear "2020" @default.
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