ACCOUNT FOR ENERGY CONSUMPTION FOR MANAGEMENT AT REPRODUCTION OF POLYNOMIAL EXOGENOUS ACTIONS: GRAMIAN APPROACH
ITMO University; Postgraduate
A. V. Ushakov
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor
Abstract. The Gramian-based approach is used for estimation of energy consumption for management at reproduction of polynomial exogenous actions by the synthesized system. The problem is known to possess a transparent solution for initial state of the action source in the form of the majorant or minorant of the management costs as a function of modes distribution.
Keywords: source of exogenous polynomial action, initial state vector, control object, steady-state component, Gramian of management costs, majorant and minorant estimates.