Generic Well-Posedness of Optimal Control Problems without Convexity Assumptions

摘要: The Tonelli existence theorem in the calculus of variations and its subsequent modifications were established for integrands f which satisfy convexity growth conditions. In A. J. Zaslavski [Nonlinear Anal., to appear], a generic uniqueness result (with respect integrand integral functional) without condition was class optimal control problems satisfying Cesari condition. this paper we extend constraint maps are also subject variations. main is obtained as realization variational principle extending introduced D. Ioffe [SIAM Control Optim., 38 (2000), pp. 566--581].