Dispersive problem and control sets of linear control systems on Lie groups

DOI10.1051/cocv/2024054MaRDI QIDQ6621512

Josiney A. Souza

Publication date: 18 October 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

Lie grouprecurrencelinear control systemprolongationcontrol setdispersiveness

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

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• Controllability of linear systems on low dimensional nilpotent and solvable Lie groups
• Controllability of linear systems on Lie groups
• Some aspects of stability for semigroup actions and control systems
• Control sets of linear systems on Lie groups
• Parallelizable flows and Lyapunov's second method
• Sufficient conditions for dispersiveness of invariant control affine systems on the Heisenberg group
• Prolongational limit sets of control systems
• Poisson stability and periodicity of control affine systems
• Parallelizability of control systems
• Prolongational controllability and weak attraction for control affine systems
• Controllability of Linear Systems on Solvable Lie Groups
• Controllability properties of a class of control systems on lie groups
• Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
• Higher Prolongations of Control Affine Systems: Absolute Stability and Generalized Recurrence
• Outer Invariance Entropy for Linear Systems on Lie Groups
• Parallelizability Revisited
• The dynamics of control. With an appendix by Lars Grüne

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