Title data
Faulwasser, Timm ; Grüne, Lars ; Humaloja, JukkaPekka ; Schaller, Manuel:
The interval turnpike property for adjoints.
In: Pure and Applied Functional Analysis.
Vol. 7
(2022)
Issue 4
.
 pp. 11871207.
ISSN 21893756
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Deutsche Forschungsgemeinschaft 
Abstract in another language
In this work we derive an interval turnpike result for adjoints of finite and infinitedimensional nonlinear optimal control problems under the assumption of an interval turnpike on states and controls. We consider stabilizable dynamics governed by a generator of a semigroup with finitedimensional unstable part satisfying a spectral decomposition condition and show the desired turnpike property under continuity assumptions on the firstorder optimality conditions. We further give stronger estimates for analytic semigroups and provide a numerical example with a boundary controlled semilinear heat equation to illustrate the results.
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The interval turnpike property for adjoints. (deposited 27 May 2020 07:42)
 The interval turnpike property for adjoints. (deposited 24 Oct 2022 11:45) [Currently Displayed]