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Topological conjugacy for affine-linear flows and control systems
| 1. | Institut für Mathematik, Universität Augsburg, 86135 Augsburg |
| 2. | Departamento de Matemática, Universidade Estadual de Maringá, Maringá-PR, 87020-900, Brazil |
References:
| [1] |
A. A. Agrachev and Y. L. Sachkov, "Control Theory from a Geometric Viewpoint," Springer-Verlag, New York, 2004. |
| [2] |
B. Aulbach and T. Wanner, Integral manifolds for Carathéodory type differential equations in Banach spaces, in "Six Lectures on Dynamical Systems" (eds. B. Aulbach and F. Colonius), World Scientific, (1996), 45-119. |
| [3] |
V. Ayala, F. Colonius and W. Kliemann, On topological equivalence of linear flows with applications to bilinear control systems, J. Dynamical and Control Systems, 13 (2007), 337-362.
doi: doi:10.1007/s10883-007-9021-9. |
| [4] |
L. Baratchart, M. Chyba and J.-P. Pomet, A Grobman-Hartman theorem for control systems, J. Dynamics and Differential Equations, 19 (2007), 95-107. |
| [5] |
F. Colonius and W. Kliemann, "The Dynamics of Control," Birkhäuser, Boston, 2000. |
| [6] |
Nguyen Dinh Cong, "Topological Dynamics of Random Dynamical Systems," Oxford Math. Monogr., Clarendon Press 1997. |
| [7] |
D. L. Elliott, "Bilinear Control Systems. Matrices in Action," Applied Mathematical Sciences, 169 Springer-Verlag, New York, 2009. |
| [8] |
C. Robinson, "Dynamical Systems. Stability, Symbolic Dynamics, and Chaos," CRC Press, 1999. |
show all references
References:
| [1] |
A. A. Agrachev and Y. L. Sachkov, "Control Theory from a Geometric Viewpoint," Springer-Verlag, New York, 2004. |
| [2] |
B. Aulbach and T. Wanner, Integral manifolds for Carathéodory type differential equations in Banach spaces, in "Six Lectures on Dynamical Systems" (eds. B. Aulbach and F. Colonius), World Scientific, (1996), 45-119. |
| [3] |
V. Ayala, F. Colonius and W. Kliemann, On topological equivalence of linear flows with applications to bilinear control systems, J. Dynamical and Control Systems, 13 (2007), 337-362.
doi: doi:10.1007/s10883-007-9021-9. |
| [4] |
L. Baratchart, M. Chyba and J.-P. Pomet, A Grobman-Hartman theorem for control systems, J. Dynamics and Differential Equations, 19 (2007), 95-107. |
| [5] |
F. Colonius and W. Kliemann, "The Dynamics of Control," Birkhäuser, Boston, 2000. |
| [6] |
Nguyen Dinh Cong, "Topological Dynamics of Random Dynamical Systems," Oxford Math. Monogr., Clarendon Press 1997. |
| [7] |
D. L. Elliott, "Bilinear Control Systems. Matrices in Action," Applied Mathematical Sciences, 169 Springer-Verlag, New York, 2009. |
| [8] |
C. Robinson, "Dynamical Systems. Stability, Symbolic Dynamics, and Chaos," CRC Press, 1999. |
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