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A sufficient condition for the transitivity of pseudo-semigroups: Application to system theory. (English) Zbl 0527.93029


MSC:

93B99 Controllability, observability, and system structure
65H17 Numerical solution of nonlinear eigenvalue and eigenvector problems
57R50 Differential topological aspects of diffeomorphisms
54D05 Connected and locally connected spaces (general aspects)
54H20 Topological dynamics (MSC2010)
58A05 Differentiable manifolds, foundations
93C55 Discrete-time control/observation systems
93C99 Model systems in control theory
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References:

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[6] Singer-Sternberg, The infinite groups of Lie and Cartan, J. Analyse Math., 15, 1-114 (1965) · Zbl 0277.58008
[8] Sussmann, H., Some properties… perturbation, J. Differential Eq., 20, 292-315 (1976) · Zbl 0346.49036
[9] Sussmann, H., Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc., 180, 171-188 (1973) · Zbl 0274.58002
[10] Sussmann, H., A generalisation of the closed… manifolds, J. Differential Geometry, 10, 151-166 (1975) · Zbl 0342.58004
[11] Tanaka, N., On differential systems… pseudo-groups, J. Math. Kyoto Univ., 10, 1-82 (1970) · Zbl 0206.50503
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