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Título: Null controllable sets and reachable sets for nonautonomous linear control systems
Autor: Fabbri, Roberta
Novo, Sylvia
Núñez, Carmen
Obaya, Rafael
Año del Documento: 2016
Editorial: American Institute of Mathematical Sciences
Descripción: Producción Científica
Documento Fuente: Discrete Continuous Dynamical Systems Series S 9 (4) (2016), 1069-1094
Resumen: 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.
Palabras Clave: Nonautonomous linear control systems
linear Hamiltonian systems
reachable sets
null controllable sets
abnormal systems
rotation number
proper focal points
ISSN: 1937-1632
Revisión por Pares: SI
DOI: 10.3934/dcdss.2016042
Patrocinador: MINECO/FEDER MTM2015-66330-P
H2020-MSCA-ITN-2014 643073 CRITICS
Version del Editor: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12859
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/25503
Derechos: info:eu-repo/semantics/openAccess
Aparece en las colecciones:DEP51 - Artículos de revista

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