Abstract
A class of µ-commutative bilinear control systems is defined and the properties of coefficients of a µ-commutative system are studied. A µ-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.
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Original Russian Text © M.V. Topunov, 2006, published in Avtomatika i Telemekhanika, 2006, No. 6, pp. 113–125.
This paper was recommended for publication by B.T. Polyak, a member of the Editorial Board