Number: Math 85/95
Author(s): LEPP, Riho.
Title: On approximation of optimal controls with discontinuous
strategies. 8 p.
Language: English
Keywords: nonlinear control equation; bounded measurable controls;
discrete convergence; 49M15; 65D15
ABSTRACT. The optimal control problem with state and control
constraints, with bounded measurable controls and absolutely
continuous trajectories is approximated by a sequence of
finite-dimensional problems. Using the notion of the discrete
convergence of elements and operators, conditions are presented
that quarantee the discrete convergence of trajectories and the
weak discrete convergence of controls.