Generic existence of solutions of nonconvex optimal control problems

Alexander J. Zaslavski

Abstract and Applied Analysis, 2005, vol. 2005, issue 4, 375-421

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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https://doi.org/10.1155/AAA.2005.375

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:4:p:375-421

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