A numerical investigation of Brockett’s ensemble optimal control problems

Abstract This paper is devoted to the numerical analysis of non-smooth ensemble optimal control problems governed by Liouville (continuity) equation that have been originally proposed R.W. Brockett with purpose determining an efficient and robust strategy for dynamical systems. A methodology solving these presented based on a Lagrange optimization framework where controls are characterized as solutions related optimality For this purpose, approximation solution schemes developed analysed. Specifically, model its adjoint, combination Kurganov–Tadmor method, Runge–Kutta scheme, Strang splitting method discussed. The resulting system solved projected semi-smooth Krylov–Newton method. Results experiments successfully validate framework.