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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2010, Volume 12, Number 4, Pages 255–259 (Mi svmo36)

Short Communications

The tasks of definition minimum number controlling action

N. V. Zubova, V. V. Dicusara, S. A. Dutovb

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: For linear stationary system is solves the task of definition minimum number control action, by that open system may be make fully controlling. This result is allows to find all totality of systems control, by that is take place fully controlling and is possess by this minimum dimensions. As distinct from criteria Kalman's proposed approach is allows to consider the problem fully controlling another on stage of foundation controlling system. Moreover, offered approach is allows to appreciate excess of system control.

Keywords: Controlling, linear combination, matrix of operator, summa of invariant subspaces, vector.

UDC: 517.9

Received: 13.12.2010



© Steklov Math. Inst. of RAS, 2024