scholarly journals Control sets of linear systems on Lie groups

2017 ◽  
Vol 24 (1) ◽  
Author(s):  
Víctor Ayala ◽  
Adriano Da Silva ◽  
Guilherme Zsigmond
Keyword(s):  
Linear Systems ◽  
Lie Groups ◽  
Control Sets ◽  
Systems On Lie Groups

scholarly journals Control sets of linear systems on semi-simple Lie groups

2020 ◽  
Vol 269 (1) ◽  
pp. 449-466 ◽  
Author(s):  
Víctor Ayala ◽  
Adriano Da Silva ◽  
Philippe Jouan ◽  
Guilherme Zsigmond
Keyword(s):  
Linear Systems ◽  
Lie Groups ◽  
Simple Lie Groups ◽  
Control Sets

scholarly journals Topological conjugacy of linear systems on Lie groups

2017 ◽  
Vol 37 (6) ◽  
pp. 3411-3421 ◽  
Author(s):  
Adriano Da Silva ◽  
◽  
Alexandre J. Santana ◽  
Simão N. Stelmastchuk ◽  
◽  
...  
Keyword(s):  
Linear Systems ◽  
Lie Groups ◽  
Topological Conjugacy ◽  
Systems On Lie Groups

scholarly journals Boundedness control sets for linear systems on Lie groups

2018 ◽  
Vol 16 (1) ◽  
pp. 370-379
Author(s):  
Víctor Ayala ◽  
María Torreblanca Todco
Keyword(s):  
Linear System ◽  
Lie Groups ◽  
Lie Group ◽  
Identity Element ◽  
Algebraic Condition ◽  
Control Sets ◽  
Control Set ◽  
Decomposable Groups ◽  
Systems On Lie Groups ◽  
Connected Lie Group

AbstractLet Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior containing e. We concentrate the search for the class of decomposable groups which includes any solvable group and also every compact semisimple group.

Time optimal control for linear systems on Lie groups

2021 ◽  
Vol 153 ◽  
pp. 104956
Author(s):  
Victor Ayala ◽  
Philippe Jouan ◽  
Maria Luisa Torreblanca ◽  
Guilherme Zsigmond
Keyword(s):  
Optimal Control ◽  
Linear Systems ◽  
Lie Groups ◽  
Time Optimal Control ◽  
Time Optimal ◽  
Systems On Lie Groups
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