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Existence and uniqueness of minimal realizations in the C∞ case

✍ Scribed by J.P. Gauthier; G. Bornard

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
259 KB
Volume
1
Category
Article
ISSN
0167-6911

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✦ Synopsis

Recdvcd 9 February 1982

A C"" system being given, on a C'" compact manifold, the existence and lIniyueness of a minimal system having the same input-output properties are proved under the assumption of complete controllability. This result extends some theorems from Sussmann, which were available only in the analytic or symmetric cases.

📜 SIMILAR VOLUMES

Existence and uniqueness of C0-semigroup
Existence and uniqueness of C0-semigroup in L∞: a new topological approach
✍ Liming Wu; Yiping Zhang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 78 KB

A sub-Markov semigroup in L ∞ is in general not strongly continuous with respect to the norm topology. We introduce a new topology on L ∞ for which the usual sub-Markov semigroups in the literature become C 0 -semigroups. This is realized by a natural extension of the Phillips theorem about dual sem