RT info:eu-repo/semantics/article
T1 Nonautonomous linear-quadratic dissipative control processes without uniform null controllability
A1 Johnson, Russell
A1 Novo, Sylvia
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
K1 Nonautonomous linear Hamiltonian systems
K1 Linear-quadratic control system
K1 Dissipativity
K1 Abnormal systems
K1 Rotation number
K1 Proper focal point
AB 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.
PB Springer
SN 1040-7294
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/25424
UL http://uvadoc.uva.es/handle/10324/25424
LA eng
NO Journal of Dynamics and Differential Equations 29 (2017), 355-383.
NO Producción Científica
DS UVaDOC
RD 22-nov-2024