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Existence and uniqueness of minimal realizations in the \(C^\infty\) case. (English) Zbl 0497.93014

93B20 Minimal systems representations
93B15 Realizations from input-output data
93C10 Nonlinear systems in control theory
57R27 Controllability of vector fields on \(C^\infty\) and real-analytic manifolds
57R50 Differential topological aspects of diffeomorphisms
57M10 Covering spaces and low-dimensional topology
Full Text: DOI
[1] Boothby, W.M., ()
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[7] Sussmann, H.J., A generalization of the closed subgroup theorem to quotients of an arbitrary manifold, J. differential geometry, 10, 151-166, (1975) · Zbl 0342.58004
[8] Sussmann, H.J., Some properties of vector fields that are not altered by small perturbations, J. differential equations, 292-315, (1976) · Zbl 0346.49036
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[10] Sussmann, H.J., Orbits of families of vector fields and integrability of distributions, Trans. amer. math. soc., 120, (June 1979)
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