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A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function

Author

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  • Alexander J. Zaslavski

    (Department of Mathematics, Technion-Israel Institute of Technology, Haifa 3200003, Israel)

Abstract

In this paper, we study the structure of trajectories of discrete disperse dynamical systems with a Lyapunov function which are generated by set-valued mappings. We establish a weak version of the turnpike property which holds for all trajectories of such dynamical systems which are of a sufficient length. This result is usually true for models of economic growth which are prototypes of our dynamical systems.

Suggested Citation

  • Alexander J. Zaslavski, 2020. "A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function," Games, MDPI, vol. 11(4), pages 1-8, December.
    • Handle: RePEc:gam:jgames:v:11:y:2020:i:4:p:63-:d:461915
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    References listed on IDEAS

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    1. Alexander J. Zaslavski, 2015. "Turnpike Theory of Continuous-Time Linear Optimal Control Problems," Springer Optimization and Its Applications, Springer, edition 127, number 978-3-319-19141-6, August.
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    Cited by:

    1. Ellina Grigorieva, 2021. "Optimal Control Theory: Introduction to the Special Issue," Games, MDPI, vol. 12(1), pages 1-4, March.

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