ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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The tasks of definition minimum number controlling action

N.V. Zubov1, V. V. Dicusar2, S.A. Dutov3

AnnotationFor 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.

1Professor of The computing center family A.A. Dorodnichina, Moscow, zubovnv@mail.ru

2Professor of The computing center family A.A. Dorodnichina, Moscow, a_v_zubov@mail.ru

3Assistant of faculty Applied Mathematics - Process Control SPbGU, Saint-Petersburg State University, Saint-Petersburg; a_v_zubov@mail.ru

Citation: N.V. Zubov , V. V. Dicusar ,S.A. Dutov , "[The tasks of definition minimum number controlling action]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 255–259 (In Russian)