K.R. AIDA-ZADE, J.A. ASADOVA
NUMERICAL INVESTIGATION OF THE TIME-OPTIMAL PROBLEM WHEN CONTROLLING OSCILLATION PROCESSES WITH BOUNDARY AND INTERMEDIATE LUMPED CONTROL ACTIONS

We propose a numerical approach to the investigation of optimal control problems for oscillation processes with boundary and intermediate lumped control actions. We have obtained the corresponding analytical formulas for the components of the gradient of the objective functional with respect to the control actions on the classes of piecewise continuous functions. We give the results of numerical experiments by way of example of solution to several model optimal control problems for oscillation processes with boundary and intermediate lumped control actions. These test problems illustrate the dependence of the minimal transition time of oscillation processes on the number and location of the lumped control actions, as well as on the process parameters, on the drag factor, etc.

Keywords: boundary and intermediate lumped control actions, point source, gradient of the objective functional, minimal transition time of oscillation process