Controllability of Bilinear Systems: Lie Theory Approach and Control Sets on Projective Spaces

Controllability of Bilinear Systems: Lie Theory Approach and Control Sets on Projective Spaces

Bilinear systems can be developed from the point of view of time-varying linear differential equations or from the symmetry of Lie theory, in particular Lie algebras, Lie groups, and Lie semigroups. For bilinear control systems with bounded control range, we analyze when a unique control set (i.e.,...

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Bibliographic Details
Main Authors: Oscar Raúl Condori Mamani, Bartolome Valero Larico, María Luisa Torreblanca, Wolfgang Kliemann
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
bilinear control systems
Lie theory
control sets
homogeneous spaces
Lyapunov exponents
Floquet spectrum
Online Access:https://www.mdpi.com/2227-7390/13/14/2273
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