The turnpike property in nonlinear optimal control - A geometric approach

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

Event location: Nice FR

ISBN: 9781728113982

DOI: 10.1109/CDC40024.2019.9028863

Abstract

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.

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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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