scholarly journals Control systems on flag manifolds and their chain control sets

2017 ◽  
Vol 37 (5) ◽  
pp. 2301-2313 ◽  
Author(s):  
Victor Ayala ◽  
◽  
Adriano Da Silva ◽  
Luiz A. B. San Martin ◽  
Keyword(s):  
Control Systems ◽  
Flag Manifolds ◽  
Control Sets

scholarly journals Control sets for bilinear and affine systems

2021 ◽  
Author(s):  
Fritz Colonius ◽  
Alexandre J. Santana ◽  
Juliana Setti
Keyword(s):  
Projective Space ◽  
Control Systems ◽  
Lie Algebra ◽  
Diophantine Approximation ◽  
Rank Condition ◽  
Approximation Result ◽  
Bilinear Control ◽  
Control Sets ◽  
Bilinear Control Systems ◽  
Affine Control Systems

AbstractFor homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control systems, the control sets around the equilibria for constant controls are characterized with particular attention to the question when the control sets are unbounded.

scholarly journals Control Sets of Linear Control Systems on Matrix Groups and Applications

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Víctor Ayala ◽  
Heriberto Román-Flores ◽  
María Torreblanca Todco
Keyword(s):  
Control Systems ◽  
Linear Control ◽  
Linear Control Systems ◽  
Algebraic Structures ◽  
Matrix Groups ◽  
Control Sets

We review recent results on control sets of linear control systems on matrix groups. We also mention some applications of systems with algebraic structures.

scholarly journals Hyperbolic Chain Control Sets on Flag Manifolds

2015 ◽  
Vol 22 (4) ◽  
pp. 725-745 ◽  
Author(s):  
A. Da Silva ◽  
C. Kawan
Keyword(s):  
Flag Manifolds ◽  
Control Sets
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