DEGENERATE LINEAR-QUADRATIC OPTIMIZATION WITH TIME-DELAY

Minimization of a degenerate integral quadratic functional on a finite time interval along the trajectories of a linear system of differenti al equations with delay in state coordinates is studied for constructi ng an impulsive positional control. The impulsive moving states encoun tered in a system with positional control are formalized. The optimal result is shown to depend continuously on the perturbations of the rig ht side of the system. The nondegenerate case of this problem is exami ned in [1-3]. A degenerate linear-quadratic problem without delay is i nvestigated in [4, 5].