ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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5
Issue
vol 60 / MAY, 2017
Article
UDC 62-50

ACCOUNT FOR ENERGY CONSUMPTION FOR MANAGEMENT AT REPRODUCTION OF POLYNOMIAL EXOGENOUS ACTIONS: GRAMIAN APPROACH

D. . Biryukov
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.