RT info:eu-repo/semantics/article
T1 On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem
A1 Fabbri, Roberta
A1 Núñez Jiménez, María del Carmen
AB The Yakubovich Frequency Theorem, in its periodic version and in its generalnonautonomous extension, establishes conditions which are equivalent tothe global solvability of a minimization problem of infinite horizon type,given by the integral in the positive half-line of a quadratic functionalsubject to a control system. It also provides the unique minimizing pair\lq\lq solution, control\rq\rq~andthe value of the minimum. In this paper we establish less restrictive conditionsunder which the problem is partially solvable, characterize the set ofinitial data for which the minimum exists, and obtain its value as well aminimizing pair. The occurrence of exponential dichotomy and thenull character of the rotation number for a nonautonomouslinear Hamiltonian system definedfrom the minimization problem are fundamental in the analysis.
SN 0373-3114
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/40501
UL http://uvadoc.uva.es/handle/10324/40501
LA spa
NO Annali di Matematica Pura e Applicata  - DOI: 10.1007/s10231-019-00939-5
DS UVaDOC
RD 24-nov-2024