Notices bibliographiques

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Spectral analysis of discrete elliptic operators and applications in control theory (avec D. Allonsius et F. Boyer). Soumis. Hal hal-01422168v1


@unpublished{allonsius:hal-01422168,
  	TITLE = {{SPECTRAL ANALYSIS OF DISCRETE ELLIPTIC OPERATORS AND APPLICATIONS IN 	CONTROL THEORY}},
 	 AUTHOR = {Allonsius, Damien and Boyer, Franck and Morancey, Morgan},
 	 URL = {https://hal.archives-ouvertes.fr/hal-01422168},
  	NOTE = {working paper or preprint},
  	YEAR = {2016},
  	MONTH = Dec,
  	KEYWORDS = {Discrete spectral analysis ; Sturm-Liouville operator ; control 	theory ; moments method ; systems of parabolic equations},
 	 PDF = {https://hal.archives-	ouvertes.fr/hal01422168/file/Allonsius_Boyer_Morancey_2016.pdf},
  	HAL_ID = {hal-01422168},
  	HAL_VERSION = {v1},
	}



Rapid stabilization of a linearized bilinear 1-D Schrödinger equation (avec J.-M. Coron et L. Gagnon). Soumis. ArXiV 1611.03738v1, 2016.

@Unpublished{StabRapidSchroLin,
Title = {Rapid stabilization of a linearized bilinear {1-D} {S}chr\"odinger equation},
Author = {Coron, Jean-Michel and Gagnon, Ludovick and Morancey, Morgan},
Note = {preprint, arXiv:1611.03738v1},
Year = {2016},
Url = {https://arxiv.org/pdf/1611.03738v1}
}



2D Grushin-type equations: minimal time and null controllable data (avec K. Beauchard et L. Miller)J. Differential Equations. 259 (11), 2015.


@article {MR3397310,
    AUTHOR = {Beauchard, Karine and Miller, Luc and Morancey, Morgan},
     TITLE = {2{D} {G}rushin-type equations: minimal time and null
              controllable data},
   JOURNAL = {J. Differential Equations},
  FJOURNAL = {Journal of Differential Equations},
    VOLUME = {259},
      YEAR = {2015},
    NUMBER = {11},
     PAGES = {5813--5845},
      ISSN = {0022-0396},
   MRCLASS = {93B05 (35K20 35K65 93B07 93C20)},
  MRNUMBER = {3397310},
MRREVIEWER = {Dan Tiba},
       DOI = {10.1016/j.jde.2015.07.007},
       URL = {http://dx.doi.org/10.1016/j.jde.2015.07.007},

}



• Approximate controllability for a 2D Grushin equation with potential having an internal singularity.
Ann. Inst. Fourier. 65 (4), 2015.


@article {,
    AUTHOR = {Morancey, Morgan},
     TITLE = {Approximate controllability for a {$\roman{2d}$} {G}rushin equation with potential having an internal
            singularity},
   JOURNAL = {Ann. Inst. Fourier},
  FJOURNAL = {Annales de l'Institut Fourier},
    VOLUME = {65},
      YEAR = {2015},
    NUMBER = {4},
     PAGES = {1525--1556},
      ISSN = {1777-5310},
       DOI = {10.5802/aif.2966},
       URL = {http://dx.doi.org/10.5802/aif.2966},
}






• Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schrödinger equations (avec
V. Nersesyan). J. Math. Pures Appl. (9)103 (1), 2015.

@article {MR3281952,
    AUTHOR = {Morancey, Morgan and Nersesyan, Vahagn},
     TITLE = {Simultaneous global exact controllability of an arbitrary
              number of {$\roman{1d}$} bilinear {S}chr\"odinger equations},
   JOURNAL = {J. Math. Pures Appl. (9)},
  FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
              S\'erie},
    VOLUME = {103},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {228--254},
      ISSN = {0021-7824},
   MRCLASS = {35Q41 (93B05 93C20)},
  MRNUMBER = {3281952},
       DOI = {10.1016/j.matpur.2014.04.002},
       URL = {http://dx.doi.org/10.1016/j.matpur.2014.04.002},
}






• Global exact controllability of 1D Schrödinger equations with a polarizability term (avec V. Nersesyan). C.R. Math. Acad. Sci. Paris. 352 (5), 2014.

@article {MR3194250,
    AUTHOR = {Morancey, Morgan and Nersesyan, Vahagn},
     TITLE = {Global exact controllability of 1d {S}chr\"odinger equations
              with a polarizability term},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {352},
      YEAR = {2014},
    NUMBER = {5},
     PAGES = {425--429},
      ISSN = {1631-073X},
   MRCLASS = {Preliminary Data},
  MRNUMBER = {3194250},
       DOI = {10.1016/j.crma.2014.03.013},
       URL = {http://dx.doi.org/10.1016/j.crma.2014.03.013},
}





Simultaneous local exact controllability of 1D bilinear Schrödinger equations. Ann. Inst. H. Poincaré Anal. Non Linéaire. 31 (3), 2014.

@article {MR3208452,
    AUTHOR = {Morancey, Morgan},
     TITLE = {Simultaneous local exact controllability of 1{D} bilinear
              {S}chr\"odinger equations},
   JOURNAL = {Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire},
  FJOURNAL = {Annales de l'Institut Henri Poincar\'e. Analyse Non
              Lin\'eaire},
    VOLUME = {31},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {501--529},
      ISSN = {0294-1449},
   MRCLASS = {Preliminary Data},
  MRNUMBER = {3208452},
       DOI = {10.1016/j.anihpc.2013.05.001},
       URL = {http://dx.doi.org/10.1016/j.anihpc.2013.05.001},
}






• Local controllability of 1D Schrödinger equations with bilinear control and minimal time (avec K. Beauchard). Math. Control Relat. Fields. 4 (2), 2014.


@article {MR3167929,
    AUTHOR = {Beauchard, Karine and Morancey, Morgan},
     TITLE = {Local controllability of 1{D} {S}chr\"odinger equations with
              bilinear control and minimal time},
   JOURNAL = {Math. Control Relat. Fields},
  FJOURNAL = {Mathematical Control and Related Fields},
    VOLUME = {4},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {125--160},
      ISSN = {2156-8472},
   MRCLASS = {93B05 (35Q41 93C20)},
  MRNUMBER = {3167929},
       DOI = {10.3934/mcrf.2014.4.125},
       URL = {http://dx.doi.org/10.3934/mcrf.2014.4.125},
}




Explicit approximate controllability of the Schrödinger equation with a polarizability term. Math. Control Signals System. 2013.

@article {MR3084375,
    AUTHOR = {Morancey, Morgan},
     TITLE = {Explicit approximate controllability of the {S}chr\"odinger
              equation with a polarizability term},
   JOURNAL = {Math. Control Signals Systems},
  FJOURNAL = {Mathematics of Control, Signals, and Systems},
    VOLUME = {25},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {407--432},
      ISSN = {0932-4194},
   MRCLASS = {93B05 (35Q41 93C20 93D15)},
  MRNUMBER = {3084375},
MRREVIEWER = {Vasile Lupulescu},
       DOI = {10.1007/s00498-012-0102-2},
       URL = {http://dx.doi.org/10.1007/s00498-012-0102-2},
}