On the number of control sets on projective spaces

DOI10.1016/0167-6911(96)00047-3zbMath0883.93016OpenAlexW2057750919MaRDI QIDQ671774

Luiz A. B. San Martin, Carlos José Braga Barros

Publication date: 27 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(96)00047-3

zbMATH Keywords

upper boundprojective spacelinear semigrouptransitive groupstransitive groupcontrol setscontrol setsemigroups in semisimple Lie groups

Mathematics Subject Classification ID

Geometric methods (93B27) Control problems involving ordinary differential equations (34H05) Lie groups (22E99)

Related Items

Control sets for bilinear and affine systems ⋮ Control sets of linear systems on semi-simple Lie groups ⋮ On the number of maximal chain transitive sets in fiber bundles ⋮ The Lyapunov spectrum of families of time-varying matrices ⋮ Chaos, attraction, and control for semigroup actions

Cites Work

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• Linear control semigroups acting on projective space
• Controllability on principal fibre bundles with compact structure group
• A transitivity problem from control theory
• Semigroup actions on homogeneous spaces
• Control systems on Lie groups
• Determination of the Transitivity of Bilinear Systems