Semigroups of Affine Groups, Controllability of Affine Systems and Affine Bilinear Systems in $\mathrm{Sl}(2,\mathbb{R})\rtimes\mathbb{R}^{2}$

DOI10.1137/080716736zbMath1194.93024OpenAlexW2080829605MaRDI QIDQ3557958

Marcos A. Verdi, Osvaldo Germano do Rocio, Alexandre J. Santana

Publication date: 28 April 2010

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080716736

zbMATH Keywords

controllabilitysemigroupssemisimple Lie groupaffine systems

Mathematics Subject Classification ID

Controllability (93B05) Semigroups of transformations, relations, partitions, etc. (20M20) Algebraic methods (93B25) General properties and structure of real Lie groups (22E15)

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The general solution for affine control systems on Lie groups ⋮ Control sets for bilinear and affine systems ⋮ Control Sets for Affine Systems, Spectral Properties, and Projective Spaces ⋮ Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces

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