VARIATIONAL ANALYSIS VIA DISCRETE APPROXIMATIONS IN OPTIMAL CONTROL

In this talk we discuss recent advances in variational analysis and its applications in
dynamic optimization models governed by nonconvex differential inclusions. Our approach
is based on discrete approximations of differential systems and thus related to both numerical
and theoretical issues in optimization and control. The main results justify stability of
discrete approximations and establish necessary optimality conditions of the Euler and Hamiltonian types.