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Article

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

Department of Mathematics, Technion-Israel Institute of Technology, Haifa 3200003, Israel
Received: 29 September 2020 / Revised: 9 November 2020 / Accepted: 7 December 2020 / Published: 14 December 2020
(This article belongs to the Special Issue Optimal Control Theory)
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. View Full-Text
Keywords: compact metric space; global attractor; lyapunov function; set-valued mapping; turnpike compact metric space; global attractor; lyapunov function; set-valued mapping; turnpike
MDPI and ACS Style

Zaslavski, A.J. A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function. Games 2020, 11, 63. https://0-doi-org.brum.beds.ac.uk/10.3390/g11040063

AMA Style

Zaslavski AJ. A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function. Games. 2020; 11(4):63. https://0-doi-org.brum.beds.ac.uk/10.3390/g11040063

Chicago/Turabian Style

Zaslavski, Alexander J. 2020. "A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function" Games 11, no. 4: 63. https://0-doi-org.brum.beds.ac.uk/10.3390/g11040063

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