A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique

Mamedov, Musa A.

Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 631-650 / Harvested from Project Euclid

Résumé

We study the turnpike property for the nonconvex optimal control problems described by the differential inclusion $\dot{x} \in a(x)$ . We study the infinite horizon problem of maximizing the functional $\int_{0}^{T} u(x(t))dt$ as $T$ grows to infinity. The turnpike theorem is proved for the case when a turnpike set consists of several optimal stationary points.

Publié le : 2003-06-16
Classification: 49J24, 37C70

@article{1056372943,
     author = {Mamedov, Musa A.},
     title = {A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 631-650},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1056372943}
}

Mamedov, Musa A. A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  631-650. http://gdmltest.u-ga.fr/item/1056372943/