RT info:eu-repo/semantics/article
T1 Null controllable sets and reachable sets for nonautonomous linear control systems
A1 Fabbri, Roberta
A1 Novo, Sylvia
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
K1 Nonautonomous linear control systems
K1 Linear Hamiltonian systems
K1 Reachable sets
K1 Null controllable sets
K1 Abnormal systems
K1 Rotation number
K1 Proper focal points
AB Under the assumption of lack of uniform controllability for a family of time-dependent linear control systems, we study the dimension, topological structure and other dynamical properties of the sets of null controllable points and of the sets of reachable points. In particular, when the space of null controllable vectors has constant dimension for all the systems of the family, we find  a closed invariant subbundle where the uniform null controllability holds. Finally, we associate a family of linear Hamiltonian systems to the control family and assume that it has an exponential dichotomy in order to relate the space of null controllable vectors to one of the Lagrange planes of the continuous splitting.
PB American Institute of Mathematical Sciences
SN 1937-1632
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/25503
UL http://uvadoc.uva.es/handle/10324/25503
LA eng
NO Discrete Continuous Dynamical Systems Series S 9 (4) (2016), 1069-1094
NO Producción Científica
DS UVaDOC
RD 23-dic-2024