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All issues Volume 31 (2025) ESAIM: COCV, 31 (2025) 91 References
Open Access
Issue
ESAIM: COCV
Volume 31, 2025
Article Number 91
Number of page(s) 18
DOI https://doi.org/10.1051/cocv/2025077
Published online 17 November 2025
  1. E. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems. Springer-Verlag (1998). [Google Scholar]
  2. D. Elliot, Bilinear Control Systems: Matrices in Action. Springer-Verlag (2009). [Google Scholar]
  3. M. Kawski, The complexity of deciding controllability. Syst. Control Lett. 15 (1990) 9–14. [Google Scholar]
  4. E. Sontag, Controllability is harder to decide than accessibility. SIAM J. Control Optim. 26 (1988) 1106–1118. [Google Scholar]
  5. V. Ayala and A. Da Silva, On the characterization of the controllability property for linear control systems on non-nilpotent, solvable three-dimensional Lie groups. J. Differ. Equ. 266 (2019) 8233–8257. [Google Scholar]
  6. F. Colonius and W. Kliemann, The Dynamics of Control. Birkhäuser Boston, MA (1999). [Google Scholar]
  7. A. Barreiro Blas, S. Diaz-Seoane and A.F. Villaverde, Controllability and accessibility analysis of nonlinear biosystems. Comput. Methods Programs Biomed. 242 (2023) 107837. [Google Scholar]
  8. V. Ayala and J. Tirao, Linear control systems on Lie groups and controllability. Proc. Symp. Pure Math., 64. American Mathematical Society (1999). [Google Scholar]
  9. V. Ayala and A. Da Silva, Controllability of linear systems on Lie groups with finite semisimple center. SIAM J. Control Optim. 55 (2017) 1332–1343. [Google Scholar]
  10. A. Da Silva, Controllability of linear systems on solvable Lie groups. SIAM J. Control Optim. 54 (2016) 372–390. [CrossRef] [MathSciNet] [Google Scholar]
  11. O.G. Do Rocio, A.J. Santana and M.A. Verdi, Hermes-Sussmann and ad-rank Conditions for local controllability. J. Dyn. Control Syst. 23 (2017) 535–545. [Google Scholar]
  12. P. Jouan, Controllability of linear systems on Lie groups. J. Dyn. Control Syst. 17 (2011) 591–616. [CrossRef] [MathSciNet] [Google Scholar]
  13. L.A.B. San Martin and V. Ayala, Controllability Properties of a Class of Control Systems on Lie Groups. Lectures Notes in Control and Information Science (2001). [Google Scholar]
  14. F. Colonius, J.A.N. Cossich and A.J. Santana, Outer invariance entropy for discrete-time linear systems on Lie groups. ESAIM Control Optim. Calc. Var. 27 (2021) 1–14. [Google Scholar]
  15. V. Ayala, T.M. Cavalheiro, J.A.N Cossich and A.J. Santana, Controllability of discrete-time linear systems on solvable Lie groups. arXiv preprint arXiv:2302.00145 (2024). [Google Scholar]
  16. T.M. Cavalheiro, J.A.N. Cossich and A.J. Santana, The chain control set of discrete-time linear systems on the affine two-dimensional Lie group. J. Dyn. Control Syst. 30 (2024) 1–18. [Google Scholar]
  17. R.E. Kalman, Y.C. Ho and K. Narendra, Controllability of linear dynamical systems. Contrib. Differ. Equ. 1 (1963) 189–213. [Google Scholar]
  18. A. Da Silva and A.F.P. Rojas, Weak condition for the existence of control sets with a nonempty interior for linear control systems on nilpotent groups. Math. Control Signals Syst. 37 (2025) 61–79. [Google Scholar]
  19. B. Jakubczyk and E. Sontag, Controllability of nonlinear discrete-time systems: a Lie-algebraic approach. SIAM J. Control Optim. 28 (1990) 189–213. [Google Scholar]
  20. V. Ayala, A. Da Silva and G. Zsigmond, Control sets of linear systems on Lie groups. Nonlinear Differ. Equ. Appl. 24 (2017) 1–15. [Google Scholar]
  21. L.A.B. San Martin, Lie Groups. Springer Cham (2016). [Google Scholar]
  22. F. Colonius, J.A.N. Cossich and A.J. Santana, Controllability properties and invariance pressure for discrete-time linear systems. J. Dyn. Differ. Equ. 34 (2022) 5–28. [Google Scholar]
  23. A. Onishchik and E. Vinberg, Lie Groups and Lie Algebras. Springer (1993). [Google Scholar]

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