Generic existence of solutions of nonconvex optimal control problems

Alexander J. Zaslavski

Abstract and Applied Analysis, 2005, vol. 2005, 1-47

Abstract:

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:649239

DOI: 10.1155/AAA.2005.375

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