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The turnpike property refers to the phenomenon that in many optimal control problems, the solutions for different initial conditions and varying horizons approach a neighborhood of a specific steady state, then stay in this neighborhood for the major part of the time horizon, until they may finally depart.
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Faulwasser, T., Grüne, L. & Müller, M. A. (2018), ‘Economic nonlinear model predictive control’, Foundations and Trends ® in Systems and Control
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Gaitsgory, V., Grüne, L., Höger, M., Kellett, C. M. & Weller, S. R. (2018), ‘Stabilization of strictly dissipative discrete time systems with discounted optimal control’, Automatica
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Grüne, L. & Guglielmi, R. (2018), ‘Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems’, SIAM Journal on Control and Optimization
2018
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Grüne, L., Pirkelmann, S. & Stieler, M. (2018), Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems, in
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Trélat, E. & Zhang, C. (2018), ‘Integral and measure-turnpike properties for infinite-dimensional optimal control systems’, Mathematics of Control, Signals, and Systems
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Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S. & Worthmann, K. (2019), ‘Towards velocity turnpikes in optimal control of mechanical systems’, IFAC-PapersOnLine
2019
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Special Issue on MPC for Energy Systems: Economic and Distributed Approaches
Grüne, L. & Pirkelmann, S. (2019), ‘Economic model predictive control for time-varying system: Performance and stability results’, Optimal Control Applications and Methods · 2019
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Grüne, L., Schaller, M. & Schiela, A. (2019), ‘Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control’, SIAM Journal on Control and Optimization
2019
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Gugat, M. & Hante, F. (2019), ‘On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems’, SIAM Journal on Control and Optimization
2019
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Hernández-Santamaría, V., Lazar, M. & Zuazua, E. (2019), ‘Greedy optimal control for elliptic problems and its application to turnpike problems’, Numerische Mathematik
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Shin, S., Faulwasser, T., Zanon, M. & Zavala, V. M. (2019), A parallel decomposition scheme for solving long-horizon optimal control problems, in
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To appear, online first version available from http://dx.doi.org/10.3934/mcrf.2020032
Grüne, L. & Guglielmi, R. (2020), ‘On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems’, Mathematical Control and Related Fields · 2020
Closest in time.
To appear
Grüne, L., Müller, M. A., Kellett, C. M. & Weller, S. R. (2020), ‘Strict dissipativity for discrete time discounted optimal control problems’, Mathematical Control and Related Fields · 2020
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Grüne, L., Schaller, M. & Schiela, A. (2020 b
2020
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Lance, G., Trélat, E. & Zuazua, E. (2020), ‘Shape turnpike for linear parabolic PDE models’, Systems & Control Letters
2020
Closest in time.
Conference postponed to 2021 due to CoViD-19
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S. & Worthmann, K. (2020), A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems, in · 2021
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