Controllability of Linear Systems on Lie Groups with Finite Semisimple Center
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Publication:5346497
DOI10.1137/15M1053037zbMath1368.93030arXiv1601.00458OpenAlexW2963441436WikidataQ115246962 ScholiaQ115246962MaRDI QIDQ5346497
Victor Ayala, Adriano Da Silva
Publication date: 24 May 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.00458
Controllability (93B05) Linear systems in control theory (93C05) General properties and structure of real Lie groups (22E15)
Related Items (18)
Control Sets for Affine Systems, Spectral Properties, and Projective Spaces ⋮ Boundedness control sets for linear systems on Lie groups ⋮ Affine and bilinear systems on Lie groups ⋮ On the structural properties of the bounded control set of a linear control system ⋮ Solution curve for linear control systems on Lie groups ⋮ Linear control systems on homogeneous spaces of the Heisenberg group ⋮ Central periodic points of linear systems ⋮ On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups ⋮ Control sets of linear systems on semi-simple Lie groups ⋮ Time optimal control for linear systems on Lie groups ⋮ Jordan decomposition and the recurrent set of flows of automorphisms ⋮ Control sets of linear systems on Lie groups ⋮ A semigroup associated to a linear control system on a Lie group ⋮ Control sets of linear control systems on matrix groups and applications ⋮ The control set of a linear control system on the two dimensional Lie group ⋮ A review on some classes of algebraic systems ⋮ Bounds for invariance pressure ⋮ Linear control systems on the homogeneous spaces of the 2D Lie group
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- Outer Invariance Entropy for Linear Systems on Lie Groups
- The dynamics of control. With an appendix by Lars Grüne
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