Generic existence of solutions of nonconvex optimal control problems
Zaslavski, Alexander J.
Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 375-421 / Harvested from Project Euclid
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The Tonelli existence theorem in the calculus of variations and its subsequent modifications were established for integrands $f$ which satisfy convexity and growth conditions. In 1996, the author obtained a generic existence and uniqueness result (with respect to variations of the integrand of the integral functional) without the convexity condition for a class of optimal control problems satisfying the Cesari growth condition. In this paper, we survey this result and its recent extensions, and establish several new results in this direction.
Publié le : 2005-06-21
Classification:  
@article{1122298458,
     author = {Zaslavski, Alexander J.},
     title = {Generic existence of solutions of nonconvex optimal control problems},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 375-421},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1122298458}
}

Zaslavski, Alexander J. Generic existence of solutions of nonconvex optimal control problems. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  375-421. http://gdmltest.u-ga.fr/item/1122298458/