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Study of the connexity of the set of affine controllable systems

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Abstract:

Purpose ? This paper sets out to review a study of the set of affine controllable systems connexity denoted by C a . Design/methodology/approach ? With each affine system a homogeneous system is associated. Jurdjevic and Sallet proved that, if a homogeneous system is controllable in R 2-{0} and, if the affine system has not a fixed point, then the affine system is controllable in R 2. Findings ? It is shown that these systems are denoted by S, and are dense in C a . Research limitations/implications ? Allows one to tackle the problem by using the connexity of a dense set in S. Originality/value ? Succeeds in completing a study of the set of affine controllable systems connexity denoted by C a .

Keywords: Cybernetics; Density; Fixed position; Homogeneous mixtures; Topology

Document Type: Research Article

DOI: http://dx.doi.org/10.1108/03684920610662476

Publication date: June 1, 2006

mcb/067/2006/00000035/00000005/art00010
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