The Experts below are selected from a list of 36 Experts worldwide ranked by ideXlab platform
Carmen Núñez - One of the best experts on this subject based on the ideXlab platform.
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On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem
Annali di Matematica Pura ed Applicata (1923 -), 2019Co-Authors: Roberta Fabbri, Carmen NúñezAbstract:The Yakubovich Frequency Theorem, in its periodic version and in its general nonautonomous extension, establishes conditions which are equivalent to the global solvability of a minimization problem of infinite horizon type, given by the integral in the positive half-line of a quadratic functional subject to a control system. It also provides the unique minimizing pair “solution, control” and the value of the minimum. In this paper, we establish less restrictive conditions under which the problem is partially solvable, Characterize the set of initial data for which the minimum exists, and obtain its value as well a minimizing pair. The occurrence of exponential dichotomy and the Null Character of the rotation number for a nonautonomous linear Hamiltonian system defined from the minimization problem are fundamental in the analysis.
Núñez Jiménez, María Del Carmen - One of the best experts on this subject based on the ideXlab platform.
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On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem
'Springer Science and Business Media LLC', 2019Co-Authors: Fabbri Roberta, Núñez Jiménez, María Del CarmenAbstract:The Yakubovich Frequency Theorem, in its periodic version and in its general nonautonomous extension, establishes conditions which are equivalent to the global solvability of a minimization problem of infinite horizon type, given by the integral in the positive half-line of a quadratic functional subject to a control system. It also provides the unique minimizing pair \lq\lq solution, control\rq\rq~and the value of the minimum. In this paper we establish less restrictive conditions under which the problem is partially solvable, Characterize the set of initial data for which the minimum exists, and obtain its value as well a minimizing pair. The occurrence of exponential dichotomy and the Null Character of the rotation number for a nonautonomous linear Hamiltonian system defined from the minimization problem are fundamental in the analysis.Ministerio de Economía y Competitividad / FEDER, MTM2015-66330-PMinisterio de Ciencia, Innovación y Universidades, RTI2018-096523-B-I00European Commission, H2020-MSCA-ITN-2014INDAM -- GNAMPA Project 201
Roberta Fabbri - One of the best experts on this subject based on the ideXlab platform.
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On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem
Annali di Matematica Pura ed Applicata (1923 -), 2019Co-Authors: Roberta Fabbri, Carmen NúñezAbstract:The Yakubovich Frequency Theorem, in its periodic version and in its general nonautonomous extension, establishes conditions which are equivalent to the global solvability of a minimization problem of infinite horizon type, given by the integral in the positive half-line of a quadratic functional subject to a control system. It also provides the unique minimizing pair “solution, control” and the value of the minimum. In this paper, we establish less restrictive conditions under which the problem is partially solvable, Characterize the set of initial data for which the minimum exists, and obtain its value as well a minimizing pair. The occurrence of exponential dichotomy and the Null Character of the rotation number for a nonautonomous linear Hamiltonian system defined from the minimization problem are fundamental in the analysis.
Fabbri Roberta - One of the best experts on this subject based on the ideXlab platform.
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On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem
'Springer Science and Business Media LLC', 2019Co-Authors: Fabbri Roberta, Núñez Jiménez, María Del CarmenAbstract:The Yakubovich Frequency Theorem, in its periodic version and in its general nonautonomous extension, establishes conditions which are equivalent to the global solvability of a minimization problem of infinite horizon type, given by the integral in the positive half-line of a quadratic functional subject to a control system. It also provides the unique minimizing pair \lq\lq solution, control\rq\rq~and the value of the minimum. In this paper we establish less restrictive conditions under which the problem is partially solvable, Characterize the set of initial data for which the minimum exists, and obtain its value as well a minimizing pair. The occurrence of exponential dichotomy and the Null Character of the rotation number for a nonautonomous linear Hamiltonian system defined from the minimization problem are fundamental in the analysis.Ministerio de Economía y Competitividad / FEDER, MTM2015-66330-PMinisterio de Ciencia, Innovación y Universidades, RTI2018-096523-B-I00European Commission, H2020-MSCA-ITN-2014INDAM -- GNAMPA Project 201
F. Ruiz Ruiz - One of the best experts on this subject based on the ideXlab platform.
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Noncommutative Einstein-Maxwell pp-waves
Physical Review D, 2006Co-Authors: S. Marculescu, F. Ruiz RuizAbstract:The field equations coupling a Seiberg-Witten electromagnetic field to noncommutative gravity, as described by a formal power series in the noncommutativity parameters theta(alpha beta), is investigated. A large family of solutions, up to order one in theta(alpha beta), describing Einstein-Maxwell Null pp-waves is obtained. The order-one contributions can be viewed as providing noncommutative corrections to pp-waves. In our solutions, noncommutativity enters the spacetime metric through a conformal factor and is responsible for dilating/contracting the separation between points in the same Null surface. The noncommutative corrections to the electromagnetic waves, while preserving the wave Null Character, include constant polarization, higher harmonic generation, and inhomogeneous susceptibility. As compared to pure noncommutative gravity, the novelty is that nonzero corrections to the metric already occur at order one in theta(alpha beta).
