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Avtomatika i Telemekhanika, 2006, Issue 6, Pages 113–125 (Mi at1198)  
Deterministic Systems

A class of $\mu$-commutative bilinear control systems

M. V. Topunov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
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Abstract: A class of $\mu$-commutative bilinear control systems is defined and the properties of coefficients of a $\mu$-commutative system are studied. A $\mu$-commutative scalar control system is studied and an explicit representation for its input-output mapping is derived. This mapping is used to study the properties of a system, particularly the geometry of its reachable set.
Presented by the member of Editorial Board: B. T. Polyak

Received: 05.12.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 6, Pages 933–944
DOI: https://doi.org/10.1134/S0005117906060087
Bibliographic databases:
Document Type: Article
PACS: 07.05.Dz, 02.30.Yy, 02.30.Hq
Language: Russian
Citation: M. V. Topunov, “A class of $\mu$-commutative bilinear control systems”, Avtomat. i Telemekh., 2006, no. 6, 113–125; Autom. Remote Control, 67:6 (2006), 933–944
Citation in format AMSBIB
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\paper A~class of $\mu$-commutative bilinear control systems
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\transl
\jour Autom. Remote Control
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\issue 6
\pages 933--944
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