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Please use this identifier to cite or link to this item: http://uvadoc.uva.es/handle/10324/25424
Title: Nonautonomous linear-quadratic dissipative control processes without uniform null controllability
Authors: Johnson, Russell
Novo, Sylvia
Núñez, Carmen
Obaya, Rafael
Issue Date: 2017
Publisher: Springer
Description: Producción Científica
Citation: Journal of Dynamics and Differential Equations 29 (2017), 355-383.
Abstract: 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.
Classification: Nonautonomous linear Hamiltonian systems
Linear-quadratic control system
dissipativity
abnormal system
rotation number
proper focal point
ISSN: 1040-7294
Peer Review: SI
DOI: 10.1007/s10884-015-9495-1
Sponsor: MEC-FEDER MTM2012-30860
JCYL VA118A12-1
Publisher Version: https://link.springer.com/article/10.1007%2Fs10884-015-9495-1
Language: eng
URI: http://uvadoc.uva.es/handle/10324/25424
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:DEP51 - Artículos de revista

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