Number: Math 79/94
Author(s): LEPP, Riho.
Title: Discrete approximation of nonlinear controls. 16 p.
Language: English
Keywords: Nonlinear control equations; bounded measurable controls;
discrete approximation.
ABSTRACT. The basic optimal control problem with bounded
measurable controls and absolute continuous trajectories is
approximated by a sequence of finite dimensional (discrete)
problems. Using the notion of the discrete convergence of
elements and operators, conditions are presented, which quarantee
the discrete convergence of trajectories and the weak discrete
convergence of optimal controls.