Open Access
| Issue |
ESAIM: COCV
Volume 32, 2026
|
|
|---|---|---|
| Article Number | 11 | |
| Number of page(s) | 54 | |
| DOI | https://doi.org/10.1051/cocv/2025100 | |
| Published online | 11 February 2026 | |
- T. Faulwasser and L. Grüne, Turnpike properties in optimal control: an overview of discrete-time and continuous-time results. Handb. Numer. Anal. 23 (2022) 367–400. [Google Scholar]
- B. Geshkovski and E. Zuazua, Turnpike in optimal control of pdes, resnets, and beyond. Acta Numer. 31 (2022) 135–263. [Google Scholar]
- T. Damm, L. Grune, M. Stieler and K. Worthmann, An exponential turnpike theorem for dissipative discrete time optimal control problems. SIAM J. Control Optim. 52 (2014) 1935–1957. [Google Scholar]
- T. Breiten and L. Pfeiffer, On the turnpike property and the receding-horizon method for linear-quadratic optimal control problems. SIAM J. Control Optim. 58 (2020) 1077–1102. [Google Scholar]
- E. Trelat and E. Zuazua, The turnpike property in finite-dimensional nonlinear optimal control. J. Differ. Equ. 258 (2015) 81–114. [CrossRef] [Google Scholar]
- L. Grüne, M. Schaller and A. Schiela, Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. SIAM J. Control Optim. 57 (2019) 2753–2774. [Google Scholar]
- L. Gruüne, M. Schaller and A. Schiela, Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. J. Differ. Equ. 268 (2020) 7311–7341. [CrossRef] [Google Scholar]
- L. Grune, M. Schaller and A. Schiela, Efficient model predictive control for parabolic PDEs with goal oriented error estimation. SIAM J. Sci. Comput. 44 (2022) A471–A500. [Google Scholar]
- S. Shin, M. Anitescu and V.M. Zavala, Exponential decay of sensitivity in graph-structured nonlinear programs. SIAM J. Optim. 32 (2022) 1156–1183. [Google Scholar]
- M. Sperl, L. Saluzzi, L. Grune and D. Kalise, Separable approximations of optimal value functions under a decaying sensitivity assumption, in 62nd IEEE Conference on Decision and Control (2023) 259–264. [Google Scholar]
- S. Güottlich, M. Schaller and K. Worthmann, Perturbations in PDE-constrained optimal control decay exponentially in space. ESAIM: Control Optim. Calc. Var. 31 (2025) 27. [Google Scholar]
- F. Troltzsch, Optimal Control of Partial Differential Equations: Theory, Methods, and Applications, vol. 112. American Mathematical Society (2010). [Google Scholar]
- M. Schaller, Sensitivity Analysis and Goal Oriented Error Estimation for Model Predictive Control. PhD thesis, University of Bayreuth, Germany (2021). https://epub.uni-bayreuth.de/id/eprint/5538/1/dissertation_epub.pdf. [Google Scholar]
- X. Li and J. Yong, Optimal Control Theory for Infinite Dimensional Systems. Birkhauser, Boston (1995). [Google Scholar]
- A. Ern and J.-L. Guermond, Theory and Practice of Finite Elements, vol. 159. Springer (2004). [Google Scholar]
- V. Lykina and S. Pickenhain, Weighted functional spaces approach in infinite horizon optimal control problems: a systematic analysis of hidden opportunities and advantages. J. Math. Anal. Appl. 454 (2017) 195–218. [Google Scholar]
- T. Reis and M. Schaller, Linear-quadratic optimal control for infinite-dimensional input-state-output systems. ESAIM: Control Optim. Calc. Var. 31 (2025) 36. [Google Scholar]
- P.R. Chernoff, Note on product formulas for operator semigroups. J. Funct. Anal. 2 (1968) 238–242. [Google Scholar]
- K.-J. Engel and R. Nagel, One-parameter Semigroups for Linear Evolution Equations. Springer (2000). [Google Scholar]
- H.F. Trotter, On the product of semi-groups of operators. Proc. Am. Math. Soc. 10 (1959) 545–551. [Google Scholar]
- G. Bastin and J.-M. Coron, Stability and Boundary Stabilization of 1-D Hyperbolic Systems. Birkhüuser, Cham (2016). [Google Scholar]
- M. Tucsnak and G. Weiss, Observation and Control for Operator Semigroups. Birkhüauser, Basel (2009). [Google Scholar]
- M. Warma and S. Zamorano, Exponential turnpike property for fractional parabolic equations with non-zero exterior data. ESAIM: Control Optim. Calc. Var. 27 (2021) 1. [Google Scholar]
- D. Werner, Functional Analysis. Springer-Verlag (2006). [Google Scholar]
- H. Amann and J. Escher, Analysis 2. Birkhüauser Verlag, Basel (2006). [Google Scholar]
- H. Logemann and E.P. Ryan, Ordinary Differential Equations: Analysis, Qualitative Theory and Control. SpringerVerlag, London (2014). [Google Scholar]
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