Skip to main content
Top

2013 | OriginalPaper | Chapter

5. A Hybrid Control Approach to Nanopositioning

Authors : Tomas Tuma, Abu Sebastian, John Lygeros, Angeliki Pantazi

Published in: Smart Materials-Based Actuators at the Micro/Nano-Scale

Publisher: Springer New York

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Precise position control on the nanometer and subnanometer scale, referred to as nanopositioning, is a key enabler for nanoscale science and engineering. In nanopositioning, feedback control is essential to meet the stringent requirements on accuracy, stability, and repeatability in the presence of model uncertainties and environmental disturbances. In this chapter, we review a new hybrid control approach to nanopositioning which is based on the combination of a continuous-time control law with impulsive modifications of the controller states. By using impulsive control, the limitations of conventional linear controllers can be overcome, such as the inherent trade-off between closed-loop bandwidth and resolution. We review the related literature, present an in-depth analysis of the stability and performance characteristics of impulsive control, and verify the theoretical conclusions experimentally using a custom-built atomic force microscope.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference G. Binnig, H. Rohrer, C. Gerber, E. Weibel, Surface studies by scanning tunneling microscopy. Phys. Rev. Lett. 49(1), 57–61 (1982)CrossRef G. Binnig, H. Rohrer, C. Gerber, E. Weibel, Surface studies by scanning tunneling microscopy. Phys. Rev. Lett. 49(1), 57–61 (1982)CrossRef
2.
go back to reference G. Binnig, C. Quate, C. Gerber, Atomic force microscope. Phys. Rev. Lett. 56(9), 930–933 (1986)CrossRef G. Binnig, C. Quate, C. Gerber, Atomic force microscope. Phys. Rev. Lett. 56(9), 930–933 (1986)CrossRef
3.
go back to reference L. Gross, F. Mohn, N. Moll, B. Schuler, A. Criado, E. Guitián, D. Peña, A. Gourdon, G. Meyer, Bond-order discrimination by atomic force microscopy. Science 337(6100), 1326–1329 (2012)CrossRef L. Gross, F. Mohn, N. Moll, B. Schuler, A. Criado, E. Guitián, D. Peña, A. Gourdon, G. Meyer, Bond-order discrimination by atomic force microscopy. Science 337(6100), 1326–1329 (2012)CrossRef
4.
go back to reference D. Pires, J.L. Hedrick, A.D. Silva, J. Frommer, B. Gotsmann, H. Wolf, M. Despont, U. Duerig, A.W. Knoll, Nanoscale three-dimensional patterning of molecular resists by scanning probes. Science 328, 732–735 (2010)CrossRef D. Pires, J.L. Hedrick, A.D. Silva, J. Frommer, B. Gotsmann, H. Wolf, M. Despont, U. Duerig, A.W. Knoll, Nanoscale three-dimensional patterning of molecular resists by scanning probes. Science 328, 732–735 (2010)CrossRef
5.
go back to reference T. Ando, High-speed atomic force microscopy coming of age. Nanotechnology 23, 062001 (2012)CrossRef T. Ando, High-speed atomic force microscopy coming of age. Nanotechnology 23, 062001 (2012)CrossRef
6.
go back to reference E. Eleftheriou, T. Antonakopoulos, G. Binnig, G. Cherubini, M. Despont, A. Dholakia, U. Durig, M. Lantz, H. Pozidis, H. Rothuizen, P. Vettiger, Millipede - a MEMS-based scanning-probe data-storage system. IEEE Trans. Magn. 39(2) 938–945 (2003)CrossRef E. Eleftheriou, T. Antonakopoulos, G. Binnig, G. Cherubini, M. Despont, A. Dholakia, U. Durig, M. Lantz, H. Pozidis, H. Rothuizen, P. Vettiger, Millipede - a MEMS-based scanning-probe data-storage system. IEEE Trans. Magn. 39(2) 938–945 (2003)CrossRef
7.
go back to reference A. Pantazi, A. Sebastian, T.A. Antonakopoulos, P. Baechtold, A.R. Bonaccio, J. Bonan, G. Cherubini, M. Despont, R.A. DiPietro, U. Drechsler, U. Duerig, B. Gotsmann, W. Haeberle, C. Hagleitner, J.L. Hedrick, D. Jubin, A. Knoll, M.A. Lantz, J. Pentarakis, H. Pozidis, R.C. Pratt, H. Rothuizen, R. Stutz, M. Varsamou, D. Wiesmann, E. Eleftheriou, Probe-based ultrahigh-density storage technology. IBM J. Res. Develop. 52(4.5), 493–511 (2008) A. Pantazi, A. Sebastian, T.A. Antonakopoulos, P. Baechtold, A.R. Bonaccio, J. Bonan, G. Cherubini, M. Despont, R.A. DiPietro, U. Drechsler, U. Duerig, B. Gotsmann, W. Haeberle, C. Hagleitner, J.L. Hedrick, D. Jubin, A. Knoll, M.A. Lantz, J. Pentarakis, H. Pozidis, R.C. Pratt, H. Rothuizen, R. Stutz, M. Varsamou, D. Wiesmann, E. Eleftheriou, Probe-based ultrahigh-density storage technology. IBM J. Res. Develop. 52(4.​5), 493–511 (2008)
8.
go back to reference R.A. Oliver, Advances in AFM for the electrical characterization of semiconductors. Rep. Progr. Phys. 71(7), 076501 (2008)CrossRef R.A. Oliver, Advances in AFM for the electrical characterization of semiconductors. Rep. Progr. Phys. 71(7), 076501 (2008)CrossRef
9.
go back to reference T. Tuma, A. Pantazi, J. Lygeros, A. Sebastian, Nanopositioning with impulsive state multiplication: a hybrid control approach. IEEE Trans. Contr. Syst. Technol. (2012, to appear) T. Tuma, A. Pantazi, J. Lygeros, A. Sebastian, Nanopositioning with impulsive state multiplication: a hybrid control approach. IEEE Trans. Contr. Syst. Technol. (2012, to appear)
10.
go back to reference T. Tuma, A. Sebastian, W. Häberle, J. Lygeros, A. Pantazi, Impulsive control for fast nanopositioning. Nanotechnology 22, 135501 (2011)CrossRef T. Tuma, A. Sebastian, W. Häberle, J. Lygeros, A. Pantazi, Impulsive control for fast nanopositioning. Nanotechnology 22, 135501 (2011)CrossRef
11.
go back to reference T. Tuma, A. Pantazi, J. Lygeros, A. Sebastian, Comparison of two non-linear control approaches to fast nanopositioning: impulsive control and signal transformation. Mechatronics 22, 302–309 (2012)CrossRef T. Tuma, A. Pantazi, J. Lygeros, A. Sebastian, Comparison of two non-linear control approaches to fast nanopositioning: impulsive control and signal transformation. Mechatronics 22, 302–309 (2012)CrossRef
12.
go back to reference T. Tuma, A. Pantazi, J. Lygeros, A. Sebastian, Impulsive control for nanopositioning: stability and performance, in Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control, ACM, pp. 173–180 (2011) T. Tuma, A. Pantazi, J. Lygeros, A. Sebastian, Impulsive control for nanopositioning: stability and performance, in Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control, ACM, pp. 173–180 (2011)
13.
go back to reference S.M. Salapaka, M.V. Salapaka, Scanning probe microscopy. IEEE Contr. Syst. Mag. 28(2), 65–83 (2008)CrossRef S.M. Salapaka, M.V. Salapaka, Scanning probe microscopy. IEEE Contr. Syst. Mag. 28(2), 65–83 (2008)CrossRef
14.
go back to reference D. Abramovitch, S. Andersson, L. Pao, G. Schitter, A tutorial on the mechanisms, dynamics, and control of atomic force microscopes, in Proceedings of the American Control Conference, IEEE, pp. 3488–3502 (2007) D. Abramovitch, S. Andersson, L. Pao, G. Schitter, A tutorial on the mechanisms, dynamics, and control of atomic force microscopes, in Proceedings of the American Control Conference, IEEE, pp. 3488–3502 (2007)
15.
go back to reference S. Devasia, E. Eleftheriou, S.O.R. Moheimani, A survey of control issues in nanopositioning. IEEE Trans. Contr. Syst. Technol. 15(5), 802–823 (2007)CrossRef S. Devasia, E. Eleftheriou, S.O.R. Moheimani, A survey of control issues in nanopositioning. IEEE Trans. Contr. Syst. Technol. 15(5), 802–823 (2007)CrossRef
16.
go back to reference S. Aphale, A. Fleming, S. Reza Moheimani, Integral resonant control of collocated smart structures. Smart Mater. Struct. 16, 439 (2007)CrossRef S. Aphale, A. Fleming, S. Reza Moheimani, Integral resonant control of collocated smart structures. Smart Mater. Struct. 16, 439 (2007)CrossRef
17.
go back to reference A. Fleming, S. Aphale, S. Moheimani, A new method for robust damping and tracking control of scanning probe microscope positioning stages. IEEE Trans. Nanotechnol. 9(4), 438–448 (2010)CrossRef A. Fleming, S. Aphale, S. Moheimani, A new method for robust damping and tracking control of scanning probe microscope positioning stages. IEEE Trans. Nanotechnol. 9(4), 438–448 (2010)CrossRef
18.
go back to reference A. Sebastian, A. Pantazi, S.O.R. Moheimani, H. Pozidis, E. Eleftheriou, Achieving subnanometer precision in a MEMS-based storage device during self-servo write process. IEEE Trans. Nanotechnol. 7(5), 586–595 (2008)CrossRef A. Sebastian, A. Pantazi, S.O.R. Moheimani, H. Pozidis, E. Eleftheriou, Achieving subnanometer precision in a MEMS-based storage device during self-servo write process. IEEE Trans. Nanotechnol. 7(5), 586–595 (2008)CrossRef
19.
go back to reference G. Schitter, R. Stark, A. Stemmer, Fast contact-mode atomic force microscopy on biological specimen by model-based control. Ultramicroscopy 100(3), 253–257 (2004)CrossRef G. Schitter, R. Stark, A. Stemmer, Fast contact-mode atomic force microscopy on biological specimen by model-based control. Ultramicroscopy 100(3), 253–257 (2004)CrossRef
20.
go back to reference S. Salapaka, A. Sebastian, J.P. Cleveland, M.V. Salapaka, High bandwidth nano-positioner: a robust control approach. Rev. Sci. Instrum. 73(9), 3232–3241 (2002)CrossRef S. Salapaka, A. Sebastian, J.P. Cleveland, M.V. Salapaka, High bandwidth nano-positioner: a robust control approach. Rev. Sci. Instrum. 73(9), 3232–3241 (2002)CrossRef
21.
go back to reference A. Sebastian, S. Salapaka, Design methodologies for robust nano-positioning. IEEE Trans. Contr. Syst. Technol. 13(6), 868–876 (2005)CrossRef A. Sebastian, S. Salapaka, Design methodologies for robust nano-positioning. IEEE Trans. Contr. Syst. Technol. 13(6), 868–876 (2005)CrossRef
22.
go back to reference C. Lee, S.M. Salapaka, Robust broadband nanopositioning: fundamental trade-offs, analysis, and design in a two-degree-of-freedom control framework. Nanotechnology 20(3), 035501 (2009) C. Lee, S.M. Salapaka, Robust broadband nanopositioning: fundamental trade-offs, analysis, and design in a two-degree-of-freedom control framework. Nanotechnology 20(3), 035501 (2009)
23.
go back to reference S. Bashash, N. Jalili, Robust adaptive control of coupled parallel piezo-flexural nanopositioning stages. IEEE/ASME Trans. Mechatron. 14(1), 11–20 (2009)CrossRef S. Bashash, N. Jalili, Robust adaptive control of coupled parallel piezo-flexural nanopositioning stages. IEEE/ASME Trans. Mechatron. 14(1), 11–20 (2009)CrossRef
24.
go back to reference S. Hara, Y. Yamamoto, T. Omata, M. Nakano, Repetitive control system: a new type servo system for periodic exogenous signals. IEEE Trans. Automat. Contr. 33(7), 659–668 (1988)MathSciNetMATHCrossRef S. Hara, Y. Yamamoto, T. Omata, M. Nakano, Repetitive control system: a new type servo system for periodic exogenous signals. IEEE Trans. Automat. Contr. 33(7), 659–668 (1988)MathSciNetMATHCrossRef
25.
go back to reference Y. Shan, K. Leang, Repetitive control with Prandtl-Ishlinskii hysteresis inverse for piezo-based nanopositioning, in Proceedings of the American Control Conference, IEEE, pp. 301–306 (2009) Y. Shan, K. Leang, Repetitive control with Prandtl-Ishlinskii hysteresis inverse for piezo-based nanopositioning, in Proceedings of the American Control Conference, IEEE, pp. 301–306 (2009)
26.
go back to reference D. Bristow, M. Tharayil, A. Alleyne, A survey of iterative learning control. IEEE Contr. Syst. Mag. 26(3), 96–114 (2006)CrossRef D. Bristow, M. Tharayil, A. Alleyne, A survey of iterative learning control. IEEE Contr. Syst. Mag. 26(3), 96–114 (2006)CrossRef
27.
go back to reference K. Leang, Q. Zou, S. Devasia, Feedforward control of piezoactuators in atomic force microscope systems. IEEE Contr. Syst. Mag. 29, 70–82 (2009)MathSciNetCrossRef K. Leang, Q. Zou, S. Devasia, Feedforward control of piezoactuators in atomic force microscope systems. IEEE Contr. Syst. Mag. 29, 70–82 (2009)MathSciNetCrossRef
28.
go back to reference N.C. Singer, W.P. Seering, Preshaping command inputs to reduce system vibration. J. Dyn. Syst. Meas. Contr. 112(1), 76–82 (1990)CrossRef N.C. Singer, W.P. Seering, Preshaping command inputs to reduce system vibration. J. Dyn. Syst. Meas. Contr. 112(1), 76–82 (1990)CrossRef
29.
go back to reference A. Fleming, A. Wills, Optimal periodic trajectories for band-limited systems. IEEE Trans. Contr. Syst. Technol. 17(3), 552–562 (2009)CrossRef A. Fleming, A. Wills, Optimal periodic trajectories for band-limited systems. IEEE Trans. Contr. Syst. Technol. 17(3), 552–562 (2009)CrossRef
30.
go back to reference I. Mahmood, S. Reza Moheimani, Fast spiral-scan atomic force microscopy. Nanotechnology 20, 365503 (2009)CrossRef I. Mahmood, S. Reza Moheimani, Fast spiral-scan atomic force microscopy. Nanotechnology 20, 365503 (2009)CrossRef
31.
go back to reference A. Kotsopoulos, T. Antonakopoulos, Nanopositioning using the spiral of archimedes: the probe-based storage case. Mechatronics 20(2), 273–280 (2010)CrossRef A. Kotsopoulos, T. Antonakopoulos, Nanopositioning using the spiral of archimedes: the probe-based storage case. Mechatronics 20(2), 273–280 (2010)CrossRef
32.
go back to reference A. Kotsopoulos, A. Pantazi, A. Sebastian, T. Antonakopoulos, High-speed spiral nanopositioning, in Proceedings of IFAC world congress, IFAC, pp. 2018–2023 (2011) A. Kotsopoulos, A. Pantazi, A. Sebastian, T. Antonakopoulos, High-speed spiral nanopositioning, in Proceedings of IFAC world congress, IFAC, pp. 2018–2023 (2011)
33.
go back to reference Y. Yong, S. Moheimani, I. Petersen, High-speed cycloid-scan atomic force microscopy. Nanotechnology 21, 365503 (2010)CrossRef Y. Yong, S. Moheimani, I. Petersen, High-speed cycloid-scan atomic force microscopy. Nanotechnology 21, 365503 (2010)CrossRef
34.
go back to reference T. Tuma, J. Lygeros, V. Kartik, A. Sebastian, A. Pantazi, High-speed multiresolution scanning probe microscopy based on Lissajous scan trajectories. Nanotechnology 23, 185501 (2012)CrossRef T. Tuma, J. Lygeros, V. Kartik, A. Sebastian, A. Pantazi, High-speed multiresolution scanning probe microscopy based on Lissajous scan trajectories. Nanotechnology 23, 185501 (2012)CrossRef
35.
go back to reference T. Tuma, J. Lygeros, A. Sebastian, A. Pantazi, Optimal scan trajectories for high speed scanning probe microscopy, in Proceedings of the 2012 American Control Conference, IEEE, pp. 3791–3796 (2012) T. Tuma, J. Lygeros, A. Sebastian, A. Pantazi, Optimal scan trajectories for high speed scanning probe microscopy, in Proceedings of the 2012 American Control Conference, IEEE, pp. 3791–3796 (2012)
36.
37.
go back to reference D. Liberzon, Switching in Systems and Control. Ser. Systems & Control: Foundations & Applications (Birkhäuser, Boston, 2003)MATHCrossRef D. Liberzon, Switching in Systems and Control. Ser. Systems & Control: Foundations & Applications (Birkhäuser, Boston, 2003)MATHCrossRef
38.
go back to reference J.C. Clegg, A nonlinear integrator for servomechanisms. Trans. AIEE, Part II. Appl. Ind. 77(2), 41–42 (1958) J.C. Clegg, A nonlinear integrator for servomechanisms. Trans. AIEE, Part II. Appl. Ind. 77(2), 41–42 (1958)
39.
go back to reference I. Horowitz, P. Rosenbaum, Non-linear design for cost of feedback reduction in systems with large parameter uncertainty. Int. J. Contr. 21, 977–1001 (1975)MATHCrossRef I. Horowitz, P. Rosenbaum, Non-linear design for cost of feedback reduction in systems with large parameter uncertainty. Int. J. Contr. 21, 977–1001 (1975)MATHCrossRef
40.
41.
go back to reference D. Wu, G. Guo, Y. Wang, Reset integral-derivative control for HDD servo systems. IEEE Trans. Contr. Syst. Technol. 15(1), 161–167 (2007)CrossRef D. Wu, G. Guo, Y. Wang, Reset integral-derivative control for HDD servo systems. IEEE Trans. Contr. Syst. Technol. 15(1), 161–167 (2007)CrossRef
42.
go back to reference D.D. Bainov, P.S. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications. Ser. Ellis Horwood Series: Mathematics and Its Applications. Chichester, UK (Ellis Horwood, 1989) D.D. Bainov, P.S. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications. Ser. Ellis Horwood Series: Mathematics and Its Applications. Chichester, UK (Ellis Horwood, 1989)
43.
go back to reference G. Schitter, K.J. Astrom, B.E. DeMartini, P.J. Thurner, K.L. Turner, P.K. Hansma, Design and modeling of a high-speed AFM-Scanner. IEEE Trans. Contr. Syst. Technol. 15(5), 906–915 (2007)CrossRef G. Schitter, K.J. Astrom, B.E. DeMartini, P.J. Thurner, K.L. Turner, P.K. Hansma, Design and modeling of a high-speed AFM-Scanner. IEEE Trans. Contr. Syst. Technol. 15(5), 906–915 (2007)CrossRef
44.
go back to reference S.O.R. Moheimani, B.J.G. Vautier, Resonant control of structural vibration using charge-driven piezoelectric actuators. IEEE Trans. Contr. Syst. Technol. 13(6), 1021–1035 (2005)CrossRef S.O.R. Moheimani, B.J.G. Vautier, Resonant control of structural vibration using charge-driven piezoelectric actuators. IEEE Trans. Contr. Syst. Technol. 13(6), 1021–1035 (2005)CrossRef
45.
go back to reference A.J. Fleming, S.O.R. Moheimani, Sensorless vibration suppression and scan compensation for piezoelectric tube nanopositioners. IEEE Trans. Contr. Syst. Technol. 14(1), 33–44 (2006)CrossRef A.J. Fleming, S.O.R. Moheimani, Sensorless vibration suppression and scan compensation for piezoelectric tube nanopositioners. IEEE Trans. Contr. Syst. Technol. 14(1), 33–44 (2006)CrossRef
46.
go back to reference A. Fleming, S. Moheimani, A grounded-load charge amplifier for reducing hysteresis in piezoelectric tube scanners. Rev. Sci. Instrum. 76(7), 073707 (2005) A. Fleming, S. Moheimani, A grounded-load charge amplifier for reducing hysteresis in piezoelectric tube scanners. Rev. Sci. Instrum. 76(7), 073707 (2005)
47.
go back to reference A. Sebastian, S.O.R. Moheimani, Signal transformation approach to fast nanopositioning. Rev. Sci. Instrum. 80(7), 076101-1–076101-3 (2009) A. Sebastian, S.O.R. Moheimani, Signal transformation approach to fast nanopositioning. Rev. Sci. Instrum. 80(7), 076101-1–076101-3 (2009)
48.
go back to reference A. Bazaei, S.O.R. Moheimani, A. Sebastian, An analysis of signal transformation approach to triangular waveform tracking. Automatica 47(4), 838–847 (2011)MathSciNetMATHCrossRef A. Bazaei, S.O.R. Moheimani, A. Sebastian, An analysis of signal transformation approach to triangular waveform tracking. Automatica 47(4), 838–847 (2011)MathSciNetMATHCrossRef
49.
go back to reference A. Bazaei, Y. Yong, S. Moheimani, A. Sebastian, Tracking of triangular references using signal transformation for control of a novel AFM scanner stage. IEEE Trans. Contr. Syst. Technol. 20(2), 453–464 (2012)CrossRef A. Bazaei, Y. Yong, S. Moheimani, A. Sebastian, Tracking of triangular references using signal transformation for control of a novel AFM scanner stage. IEEE Trans. Contr. Syst. Technol. 20(2), 453–464 (2012)CrossRef
50.
go back to reference H. Rothuizen, M. Despont, U. Drechsler, C. Hagleitner, A. Sebastian, D. Wiesmann, Design of power-optimized thermal cantilevers for scanning probe topography sensing, in Proceedings of IEEE 22nd International Conference on Micro Electro Mechanical Systems, IEEE, pp. 603–606 (2009) H. Rothuizen, M. Despont, U. Drechsler, C. Hagleitner, A. Sebastian, D. Wiesmann, Design of power-optimized thermal cantilevers for scanning probe topography sensing, in Proceedings of IEEE 22nd International Conference on Micro Electro Mechanical Systems, IEEE, pp. 603–606 (2009)
51.
go back to reference A. Sebastian, D. Wiesmann, Modeling and experimental identification of silicon microheater dynamics: a systems approach. IEEE/ASME J. Microelectromech. Syst. 17(4), 911–920 (2008)CrossRef A. Sebastian, D. Wiesmann, Modeling and experimental identification of silicon microheater dynamics: a systems approach. IEEE/ASME J. Microelectromech. Syst. 17(4), 911–920 (2008)CrossRef
52.
go back to reference V. Kartik, A. Sebastian, T. Tuma, A. Pantazi, H. Pozidis, D. Sahoo, High-bandwidth nanopositioner with magnetoresistance based position sensing. Mechatronics 22, 295–301 (2012)CrossRef V. Kartik, A. Sebastian, T. Tuma, A. Pantazi, H. Pozidis, D. Sahoo, High-bandwidth nanopositioner with magnetoresistance based position sensing. Mechatronics 22, 295–301 (2012)CrossRef
Metadata
Title
A Hybrid Control Approach to Nanopositioning
Authors
Tomas Tuma
Abu Sebastian
John Lygeros
Angeliki Pantazi
Copyright Year
2013
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-6684-0_5