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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 442–456 (Mi smj2097)  
To the question of the minimal number of inputs for linear differential algebraic systems

A. A. Shcheglova

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
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Abstract: We examine a control linear system of ordinary differential equations with an identically degenerate matrix coefficient of the derivative of the unknown vector function. We study the question of the minimal dimension of the control vector when the system could be fully controllable on any segment in the domain of definition. The problem is investigated in the cases of stationary systems and the systems with real analytic and smooth coefficients for which some structural forms can be defined.
Keywords: differential algebraic equations, differential algebraic system, controllability, minimal number of inputs, structural form.
Received: 09.09.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 357–369
DOI: https://doi.org/10.1007/s11202-010-0037-0
Bibliographic databases:
Document Type: Article
UDC: 517.926.4
Language: Russian
Citation: A. A. Shcheglova, “To the question of the minimal number of inputs for linear differential algebraic systems”, Sibirsk. Mat. Zh., 51:2 (2010), 442–456; Siberian Math. J., 51:2 (2010), 357–369
Citation in format AMSBIB
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