Averaging of multicriteria control problems of systems on time scales

Abstract

Control systems with a small parameter on the time scale, as well as optimal control problems with terminal and vector quality criteria, are considered. The justification of the averaging method on the asymptotically large period of time and the matching algorithm of the controls of the original and averaged systems are presented for these systems. The numerical-asymptotic method for solving problems of the optimal control of systems on time scales is given.