메뉴 건너뛰기




Volumn 57, Issue 8, 2012, Pages 1957-1969

Geometric optimal control of the contrast imaging problem in nuclear magnetic resonance

Author keywords

Geometric optimal control; nuclear magnetic resonance (NMR); quantum control

Indexed keywords

CONTRAST IMAGING; EXTREMAL SOLUTIONS; GEOMETRIC OPTIMAL CONTROL; HAMILTONIAN DYNAMICS; OPTIMAL PROBLEMS; OPTIMAL TRAJECTORIES; OPTIMALITY; QUANTUM CONTROL; TRANSFER TIME;

EID: 84864762328     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2195859     Document Type: Article
Times cited : (59)

References (29)
  • 1
    • 0037669419 scopus 로고    scopus 로고
    • Controllability properties for finite dimensional quantum markovian master equations
    • C. Altafini, "Controllability properties for finite dimensional quantum Markovian master equations," J. Math. Phys. , vol. 44, pp. 2357-2357, 2002.
    • (2002) J. Math. Phys. , vol.44 , pp. 2357-2357
    • Altafini, C.1
  • 2
    • 77954904018 scopus 로고    scopus 로고
    • Simultaneous time-optimal control of the inversion of two spin 1/2 particles
    • E. Assémat, M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, "Simultaneous time-optimal control of the inversion of two spin 1/2 particles," Phys. Rev. A, vol. 82, pp. 013415-013415, 2010.
    • (2010) Phys. Rev. A , vol.82 , pp. 013415-013415
    • Assémat, E.1    Lapert, M.2    Zhang, Y.3    Braun, M.4    Glaser, S.J.5    Sugny, D.6
  • 3
    • 77952090264 scopus 로고    scopus 로고
    • Controllability issues for continuous-spectrum systems and ensemble controllability of bloch equations
    • K. Beauchard, J.-M. Coron, and P. Rouchon, "Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations," Comm. Math. Phys. , vol. 296, pp. 525-525, 2010.
    • (2010) Comm. Math. Phys. , vol.296 , pp. 525-525
    • Beauchard, K.1    Coron, J.-M.2    Rouchon, P.3
  • 4
    • 11844254028 scopus 로고    scopus 로고
    • Singular trajectories and their role in control theory
    • Berlin, Germany: Springer-Verlag
    • B. Bonnard and M. Chyba, "Singular trajectories and their role in control theory," in Math. and Applications 40. Berlin, Germany: Springer-Verlag, 2003.
    • (2003) Math. and Applications , vol.40
    • Bonnard, B.1    Chyba, M.2
  • 5
    • 77649164088 scopus 로고    scopus 로고
    • Time-minimal control of dissipative two-level quantum systems: The generic case
    • Nov
    • B. Bonnard, M. Chyba, and D. Sugny, "Time-minimal control of dissipative two-level quantum systems: The generic case," IEEE Trans. Autom. Control, vol. 54, no. 11, pp. 2598-2610, Nov. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.11 , pp. 2598-2610
    • Bonnard, B.1    Chyba, M.2    Sugny, D.3
  • 6
    • 78049438255 scopus 로고    scopus 로고
    • The energy minimization problem for two-level dissipative quantum systems
    • B. Bonnard, O. Cots, N. Shcherbakova, and D. Sugny, "The energy minimization problem for two-level dissipative quantum systems," J. Math. Phys. , vol. 51, pp. 092705-092705, 2010.
    • (2010) J. Math. Phys. , vol.51 , pp. 092705-092705
    • Bonnard, B.1    Cots, O.2    Shcherbakova, N.3    Sugny, D.4
  • 7
    • 67649265400 scopus 로고    scopus 로고
    • Time-minimal control of dissipative twolevel quantum systems: The integrable case
    • B. Bonnard and D. Sugny, "Time-minimal control of dissipative twolevel quantum systems: The integrable case," SIAM J. Control Optim. , vol. 48, pp. 1289-1289, 2009.
    • (2009) SIAM J. Control Optim. , vol.48 , pp. 1289-1289
    • Bonnard, B.1    Sugny, D.2
  • 8
    • 0031909386 scopus 로고    scopus 로고
    • Mri: Use of the inversion recovery pulse sequence
    • G. M. Bydder, J. V. Hajnal, and I. R. Young, "MRI: Use of the inversion recovery pulse sequence," Clinical Radiology, vol. 53, pp. 159-159, 1998.
    • (1998) Clinical Radiology , vol.53 , pp. 159-159
    • Bydder, G.M.1    Hajnal, J.V.2    Young, I.R.3
  • 9
    • 77955110691 scopus 로고    scopus 로고
    • Optimization of rf excitation to maximize signal and γ contrast of tissues with rapid transverse relaxation
    • M. Carl, M. Bydder, J. Du, A. Takahashi, and E. Han, "Optimization of RF excitation to maximize signal and γ contrast of tissues with rapid transverse relaxation," Magn. Resonance Med. , vol. 64, pp. 481-481, 2010.
    • (2010) Magn. Resonance Med. , vol.64 , pp. 481-481
    • Carl, M.1    Bydder, M.2    Du, J.3    Takahashi, A.4    Han, E.5
  • 10
    • 50349102726 scopus 로고    scopus 로고
    • Nmr in biological systems, from molecules to human
    • New York: Springer
    • K. V. R. Chary and G. Govil, "NMR in biological systems, from molecules to human," in Focus on Structural Biology. New York: Springer, 2008, vol. 6.
    • (2008) Focus on Structural Biology , vol.6
    • Chary, K.V.R.1    Govil, G.2
  • 12
    • 35248873488 scopus 로고    scopus 로고
    • Optimal control design of excitation pulses that accomodate relaxation
    • N. I. Gershenzon, K. Kobzar, B. Luy, S. J. Glaser, and T. E. Skinner, "Optimal control design of excitation pulses that accomodate relaxation," J. Magn. Reson. , vol. 188, pp. 330-330, 2007.
    • (2007) J. Magn. Reson. , vol.188 , pp. 330-330
    • Gershenzon, N.I.1    Kobzar, K.2    Luy, B.3    Glaser, S.J.4    Skinner, T.E.5
  • 13
    • 36749106315 scopus 로고
    • Completely positive dynamical semigroups of-level systems
    • V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, "Completely positive dynamical semigroups of-level systems," J. Math. Phys. , vol. 17, pp. 821-821, 1976.
    • (1976) J. Math. Phys. , vol.17 , pp. 821-821
    • Gorini, V.1    Kossakowski, A.2    Sudarshan, E.C.G.3
  • 14
    • 84864759360 scopus 로고    scopus 로고
    • [Online]. Available:
    • [Online]. Available: http://apo. enseeiht. fr/hampath
  • 15
    • 0035280053 scopus 로고    scopus 로고
    • Time optimal control in spin systems
    • N. Khaneja, R. Brockett, and S. J. Glaser, "Time optimal control in spin systems," Phys. Rev. A, vol. 63, pp. 032308-032308, 2001.
    • (2001) Phys. Rev. A , vol.63 , pp. 032308-032308
    • Khaneja, N.1    Brockett, R.2    Glaser, S.J.3
  • 16
    • 11344283019 scopus 로고    scopus 로고
    • Optimal control of coupled spin dynamics: Design of nmr pulse sequences by gradient ascent algorithms
    • N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, "Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms," J. Magn. Reson. , vol. 172, pp. 296-296, 2005.
    • (2005) J. Magn. Reson. , vol.172 , pp. 296-296
    • Khaneja, N.1    Reiss, T.2    Kehlet, C.3    Schulte-Herbrüggen, T.4    Glaser, S.J.5
  • 17
    • 0000916037 scopus 로고
    • The high order maximal principle and its application to singular extremals
    • A. J. Krener, "The high order maximal principle and its application to singular extremals," SIAM J. Control Optim. , vol. 15, no. 2, pp. 256-256, 1977.
    • (1977) SIAM J. Control Optim. , vol.15 , Issue.2 , pp. 256-256
    • Krener, A.J.1
  • 18
    • 0000847545 scopus 로고
    • Geometric theory of extremals in optimal control problems. I. The fold and maxwell case
    • I. Kupka, "Geometric theory of extremals in optimal control problems. I. The fold and Maxwell case," Trans. Amer. Math. Soc. , vol. 299, no. 1, pp. 225-225, 1987.
    • (1987) Trans. Amer. Math. Soc. , vol.299 , Issue.1 , pp. 225-225
    • Kupka, I.1
  • 19
    • 77649089505 scopus 로고    scopus 로고
    • Singular extremals for the time-optimal control of dissipative spin 1/2 particles
    • M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, "Singular extremals for the time-optimal control of dissipative spin 1/2 particles," Phys. Rev. Lett. , vol. 104, pp. 083001-083001, 2010.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 083001-083001
    • Lapert, M.1    Zhang, Y.2    Braun, M.3    Glaser, S.J.4    Sugny, D.5
  • 21
    • 3543009193 scopus 로고
    • On the generators of quantum dynamical semi-groups
    • G. Lindblad, "On the generators of quantum dynamical semi-groups," Comm. Math. Phys. , vol. 48, pp. 119-119, 1976.
    • (1976) Comm. Math. Phys. , vol.48 , pp. 119-119
    • Lindblad, G.1
  • 22
    • 67649577210 scopus 로고    scopus 로고
    • Singular perturbations and lindblad-kossakowski differential equations
    • Jun
    • M. Mirrahimi and P. Rouchon, "Singular perturbations and Lindblad-Kossakowski differential equations," IEEE Trans. Autom. Control, vol. 54, no. 6, pp. 1325-1325, Jun. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.6 , pp. 1325-1325
    • Mirrahimi, M.1    Rouchon, P.2
  • 24
    • 0041492770 scopus 로고    scopus 로고
    • Application of optimal control theory to the design of broadband excitation pulses for high resolution nmr
    • T. E. Skinner, T. O. Reiss, B. Luy, N. Khaneja, and S. J. Glaser, "Application of optimal control theory to the design of broadband excitation pulses for high resolution NMR," J. Magn. Reson. , vol. 163, pp. 8-8, 2003.
    • (2003) J. Magn. Reson. , vol.163 , pp. 8-8
    • Skinner, T.E.1    Reiss, T.O.2    Luy, B.3    Khaneja, N.4    Glaser, S.J.5
  • 25
    • 10444220857 scopus 로고    scopus 로고
    • Tailoring the optimal control cost function to a desired output: Application to minimizing phase errors in short broadband excitation pulse
    • T. E. Skinner, T. O. Reiss, B. Luy, N. Khaneja, and S. J. Glaser, "Tailoring the optimal control cost function to a desired output: Application to minimizing phase errors in short broadband excitation pulse," J. Magn. Reson. , vol. 172, pp. 17-17, 2005.
    • (2005) J. Magn. Reson. , vol.172 , pp. 17-17
    • Skinner, T.E.1    Reiss, T.O.2    Luy, B.3    Khaneja, N.4    Glaser, S.J.5
  • 26
    • 34548191206 scopus 로고    scopus 로고
    • Time-optimal control of a two-level dissipative quantum system
    • D. Sugny, C. Kontz, and H. R. Jauslin, "Time-optimal control of a two-level dissipative quantum system," Phys. Rev. A, vol. 76, pp. 023419-023419, 2007.
    • (2007) Phys. Rev. A , vol.76 , pp. 023419-023419
    • Sugny, D.1    Kontz, C.2    Jauslin, H.R.3
  • 27
    • 51549097448 scopus 로고    scopus 로고
    • Field-free molecular alignment of αmixtures in presence of collisional relaxation
    • T. Viellard, F. Chaussard, D. Sugny, B. Lavorel, and O. Faucher, "Field-free molecular alignment of αmixtures in presence of collisional relaxation," J. Raman Spec. , vol. 39, pp. 694-694, 2008.
    • (2008) J. Raman Spec. , vol.39 , pp. 694-694
    • Viellard, T.1    Chaussard, F.2    Sugny, D.3    Lavorel, B.4    Faucher, O.5
  • 28
    • 0003941678 scopus 로고    scopus 로고
    • 3rd ed. Oxford, U. K. : Blackwell Publishing
    • C. Westbrook and C. Roth, MRI in Practice, 3rd ed. Oxford, U. K. : Blackwell Publishing, 2005.
    • (2005) MRI in Practice
    • Westbrook, C.1    Roth, C.2
  • 29
    • 79951548607 scopus 로고    scopus 로고
    • Time-optimal control of spin 1/2 particules in presence of relaxation and radiation damping effects
    • Y. Zhang, M. Lapert, M. Braun, D. Sugny, and S. J. Glaser, "Time-optimal control of spin 1/2 particules in presence of relaxation and radiation damping effects," J. Chem. Phys. , vol. 134, pp. 054103-054103, 2011.
    • (2011) J. Chem. Phys. , vol.134 , pp. 054103-054103
    • Zhang, Y.1    Lapert, M.2    Braun, M.3    Sugny, D.4    Glaser, S.J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.