Sakamoto N, Pighin D, Zuazua E (2019)
Publication Type: Conference contribution
Publication year: 2019
Publisher: Institute of Electrical and Electronics Engineers Inc.
Book Volume: 2019-December
Pages Range: 2422-2427
Conference Proceedings Title: Proceedings of the IEEE Conference on Decision and Control
ISBN: 9781728113982
DOI: 10.1109/CDC40024.2019.9028863
This paper presents, using dynamical system theory, a framework for investigating the turnpike property in nonlinear optimal control. First, it is shown that a turnpike-like property appears in general dynamical systems with hyperbolic equilibrium and then, apply it to optimal control problems to obtain sufficient conditions for the turnpike occurs. The approach taken is geometric and gives insights for the behaviors of controlled trajectories, allowing us to find simpler proofs for existing results on the turnpike properties.
APA:
Sakamoto, N., Pighin, D., & Zuazua, E. (2019). The turnpike property in nonlinear optimal control - A geometric approach. In Proceedings of the IEEE Conference on Decision and Control (pp. 2422-2427). Nice, FR: Institute of Electrical and Electronics Engineers Inc..
MLA:
Sakamoto, Noboru, Dario Pighin, and Enrique Zuazua. "The turnpike property in nonlinear optimal control - A geometric approach." Proceedings of the 58th IEEE Conference on Decision and Control, CDC 2019, Nice Institute of Electrical and Electronics Engineers Inc., 2019. 2422-2427.
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