On Infinite-Horizon Optimal Control Problems
S. Effati
Ferdowsi University, Mashhad, IranA.V. Kamyad
Ferdowski University, Mashhad, IranR.A. Kamyabi-Gol
Ferdowsi University, Mashhad, Iran
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Abstract
In this paper, we consider infinite-horizon optimal control problems. First, by a suitable change of variable, we transform the problem to a finite-horizon nonlinear optimal control problem. Then the problem is modified into one consisting of the minimization of a linear functional over a set of positive Radon measure. The optimal measure is approximated by a finite combination of atomic measures and the approximate solution of the fist problem is find by the optimal solution of a finite-dimensional linear programming problem. The solution of this problem is used to find a piecewise constant control for the original one, and finally by using the approximate control signals we obtain the approximate trajectories.
Cite this article
S. Effati, A.V. Kamyad, R.A. Kamyabi-Gol, On Infinite-Horizon Optimal Control Problems. Z. Anal. Anwend. 19 (2000), no. 1, pp. 269–278
DOI 10.4171/ZAA/950