Fondecyt Project References (6-33)
Published Papers
6.
V. Ayala, A. Da silva and M. Torreblanca, Linear control systems on the homogeneous spaces of the 2D Lie group. Journal of Differential Equations, Vol 314, 2,5 March 2022, Pages 850-870.
7.
V. Ayala, A. Da Silva, Central periodic points of linear systems, Journal of Differential Equations. Vol. 272, pp.310-329, Jan 2021.
8.
V. Ayala, A. Da Silva, P. Jouan and G, Zsigmond, Control sets of linear systems on semi-simple Lie groups. Journal of Differential Equations. Vol. 269, n° 1, pp. 449-466, Jun 15, 2020.
9.
V. Ayala, A. Da Silva, The control set of a linear control system on the two dimensional Lie group, Journal of Differential Equations. Vol. 268, pp. 6683- 6701, May 15, 2020.
10.
V. Ayala and A. Da Silva, On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups. Journal of Differential Equations. Vol. 266, pp. 8233-8257, 2019.
11.
V. Ayala and A. Da Silva, Jordan decomposition and the recurrent sets of automorphisms. Discrete and Continuous Dynamical Systems, Published Online first, 2020, doi: 10.3934/dcds.2020330
12.
V. Ayala, P. Jouan, M. Torreblanca and G. Zsigmond, Time optimal control for linear systems on Lie groups. Accepted to Systems and Control Letters, 2021.
13.
Ayala, J. Ayala and A. D Silva, Geometric structures generated by the same dynamics. Recent results and challenges. Symmetry 14(4):661, pp.1-18. Special Issue: Geometry and Dynamics, 2022.
14.
Ayala and A. Da Silva, Dynamics of LCSs on the groups of proper motions Submitted to the Journal of Differential Equations, May 2022.
15.
Ayala and A. Da Silva, Structural properties of the bounded control set of a linear system. Accepted to Nonlinear Differential Equations and Applications, NoDEA, 2021.
16.
V. Ayala, H. Román-Flores, M.Torreblanca Todco and Erika Zapana, Obervability and symmetries of linear control systems, Symmetry, pp.1-19, Jun 2020.
17.
V. Ayala and A. Da Silva, Controllability of Linear Control Systems on Lie Groups with Semisimple Finite Center. SIAM Journal on Control and Optimization, Vol. 55, No. 2, pp. 1332–1343, 2017.
18.
V. Ayala and P. Jouan, Almost Riemannian Structures and Linear Control Systems on Lie Groups. SIAM Journal on Control and Optimization, Vol. 54, No. 5, pp. 2919–2947, 2016.
19.
Ayala, L San Martin and R. Ribeiro, Controllability on Sl(2,C) with restricted controls. SIAM J. on Control and Optimization, Vol 52, n° 4, pp. 2548-2567, 2014.
20.
V. Ayala and C. Kawan, Topological Conjugacy of Real Projective Flows. Journal of the London Mathematical Society, (2), 90, (2014), pp. 49-66.
21.
Ayala and A. Da Silva, Control systems on flag manifolds and their chain control sets. Discrete and Continuous Dynamical Systems, Volume 37, Number 5, pp. 2301-2313, May 2017.
22.
Ayala and A. Da Silva, A Semigroup associated to a linear control system on a Lie group. Systems & Control Letters, Vol 98, Dec. 2016, Pages 33-36.
23.
V. Ayala, A. Da Silva and G. Zsigmond, Control sets of linear systems on Lie groups. Non Differential Equations and Applications, Issue 24: 82, pp. 1-15, (2017)
24.
Ayala, A. Da Silva and M. Ferreira, Affine and büinear systems on Lie groups. Systems and Control Letters, 117C, pp. 23-29, 2018.
25.
Ayala, J. Tirao, Linear Control Systems on Lie Groups and Controllability. American Mathematical Society. Series: Symposia in Pure Mathematics, 1999, Vol 64, N°1, pp. 47-64.
26.
Ayala, J.C. Rodríguez, L.A.B. San Martín: Optimality on homogeneous spaces, and the angle system associated with a bilinear control system. SIAM J. on Control and Optimization, 2008.