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Título
Nonautonomous linear-quadratic dissipative control processes without uniform null controllability
Año del Documento
2017
Editorial
Springer
Descripción
Producción Científica
Documento Fuente
Journal of Dynamics and Differential Equations 29 (2017), 355-383.
Resumo
In this paper the dissipativity of a family of linear-quadratic control processes is studied. The application of the Pontryagin Maximum Principle to this problem gives rise to a family of linear Hamiltonian systems for which the existence of an exponential dichotomy is assumed, but no condition of controllability is imposed. As a consequence, some of the systems of this family could be abnormal. Sufficient conditions for the dissipativity of the processes are provided assuming the existence of global positive solutions of the Riccati equation induced by the family of linear Hamiltonian systems or by a convenient disconjugate perturbation of it.
Palabras Clave
Nonautonomous linear Hamiltonian systems
Linear-quadratic control system
Dissipativity
Abnormal systems
Rotation number
Proper focal point
ISSN
1040-7294
Revisión por pares
SI
Patrocinador
MEC-FEDER MTM2012-30860
JCYL VA118A12-1
JCYL VA118A12-1
Version del Editor
Idioma
eng
Derechos
openAccess
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