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Structure of solutions of nonautonomous optimal control problems in metric spaces

Zaslavski A. J.

Journal of Mathematics and Applications

2015

Vol. 38

151--169

We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics.

Structure of approximate solutions for a class of optimal control systems

Zaslavski A. J.

Journal of Mathematics and Applications

2011

Vol. 34

135--149

We study a turnpike property of approximate solutions of a discrete-time control system with a compact metric space of states which arises in economic dynamics. To have this property means that the approximate solutions of the optimal control problems are determined mainly by an objective function, and are essentially independent of the length of the interval, for all sufficiently large intervals. We show that the turnpike property is stable under perturbations of an objective function.

Turnpike properties of approximate solutions of autonomous variational problems

Zaslavski A. J.

Control and Cybernetics

2008

Vol. 37, no 2

491-512

In this work we study the structure of approximate solutions of autonomous variational problems with vector-valued functions. We are interested in turnpike properties of these solutions, which are independent of the length of the interval, for all sufficiently large intervals. We show that the turnpike properties are stable under small perturbations of integrands.