Abstract
Deterministic long run average problems of optimal control are "asymptotically equivalent" to infinite-dimensional linear programming problems (LPP) and the latter are approximated by finite dimensional LPP. The solutions of this finite dimensional LPP can be used for numerical analysis of periodic optimization problems. In the present paper we establish the convergence of controls constructed on the basis of the solution of the finite dimensional LPP to the optimal control of a periodic optimization problem. Results are illustrated with a numerical example.
| Original language | English |
|---|---|
| Pages (from-to) | 399-413 |
| Number of pages | 15 |
| Journal | Journal of Industrial and Management Optimization |
| Volume | 3 |
| Issue number | 2 |
| Publication status | Published - 2007 |
| Externally published | Yes |
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Keywords
- Linear Programming approach
- Numerical solutions
- Occupational measures
- Optimal control
- Periodic Optimization
Cite this
Finlay, L., Gaitsgory, V., & Lebedev, I. (2007). Linear programming solutions of periodic optimization problems: Approximation of the optimal control. Journal of Industrial and Management Optimization, 3(2), 399-413.