Special Session 112: Controllability and Stabilization of Partial Differential Equations

Second-Order Necessary Conditions for Stochastic Optimal Control Problems with Final Point Constraints

Haisen Zhang
School of Mathematical Science, Sichuan Normal University
Peoples Rep of China
Co-Author(s):    
Abstract:
We establish some second-order necessary conditions for optimal control problems of stochastic differential equations with final points constraints. Both the drift and the diffusion terms of the control systems can contain the control variable, and the control regions are allowed to be nonconvex. The classical variational analysis approach and the inverse mapping theorem are used to derive those second-order necessary conditions.