[1]Binning, G., Rohrer, H., Gerber, Ch., and Weibel, E., “Surface Studies by Scanning Tunneling Microscopy”, Physical Review Letters, Vol. 49, pp. 57-61, 1982.
[2]Binning, G., Quate, C. F., and Gerber, Ch., “Atomic Force Microscope”, Physical Review Letters, Vol. 56, pp. 930-933, 1986.
[3]Huyskens, P. L., “Intermolecular Forces :an introduction to modern methods and results”, 1991.
[4]Hastings, G. G., and Book, W. J., “Verification of A Linear Dynamic Model for Flexible Robotic Manipulators ”, IEEE International Conference on Robotics and Automation, pp. 1024-1029, 1986.
[5]Nelson, W. L., “End-Point Sensing and Load-Adaptive Control of a Flexible Robot Arm”, IEEE Proceeding of 24th Conference on Decision and Control, pp. 1410-1415, 1985.
[6]Cappella, B., and Dietler, G., “Force-distance curves by atomic force microscopy”, Surface Science Reports, Vol. 34 , pp. 4-15, 1999.
[7]Usoro, P. B., Mahil, S. S., and Nadir, R., “A Finite Element/Lagrange Approach to Modeling Lightweight Flexible Manipulators”, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 108, pp. 198-205, 1986.
[8]Fung, R. F., and Huang, S. C., “Dynamic Modeling and Vibration Analysis of the Atomic Force Microscope”, ASME Journal of Vibration and Acoustics, Vol. 123, pp. 502-509, 2001.
[9]Laura, P. A. A., Pombo , J. L., and Susemihl, E. A., “A note on the vibration of a clamped-free beam with a mass at the free end”, Journal of Sound and Vibration, Vol. 37(2), pp. 161-168, 1974.
[10]Gurgoze, M., “On the Approximate Determination of the Fundamental Frequency of a Restrained Cantilever Beam Carrying a Tip Heavy Body”, Journal of Sound and Vibration, Vol. 105(3), pp. 443-449, 1986.
[11]Gurgoze, M., “On the Eigenfrequencies of a Cantilever Beam with Attached Tip Mass and a Spring-Mass System”, Journal of Sound and Vibration, Vol. 190 (2), pp. 149-162, 1996.
[12]Bapat , C. N., “Natural Frequencies of a Beam with Non-Classical Boundary Conditions and Concentrated Masses ”, Journal of Sound and Vibration, Vol. 112, pp. 177-182, 1987.
[13]Popplewell , N., and Chang, D., “Free Vibrations of a Complex Euler- Bernoulli Beam ”, Journal of Sound and Vibration, Vol. 190(5), pp. 852-856, 1996.
[14]Zhou, D., “The vibrations of a cantilever beam carrying a heave tip mass with elastic supports ”, Journal of Sound and Vibration, Vol. 206(2), PP.275-279, 1997.
[15]Auciello, N. M., “Transverse Vibrations of a Linearly Tapered Cantilever Beam with Tip Mass of Rotatory Inertia and Eccentricity ”, Journal of Sound and Vibration, Vol. 194(1), pp. 25-34, 1996.
[16]Holscher, H., Schwarz, U. D., and Wiesendanger, R., “Calculation of the Frequency Shift in Dynamic Force Microscopy”, Applied Surface Science, Vol. 140, pp. 344-351, 1999.
[17]Chang, W. J., and Chu, S. S., “Analytical Solution of Flexural Vibration Responses on Taped Atomic Force Microscope Cantilevers”, Physics Letters A, Vol. 309, pp. 133-137, 2003.
[18]Ricardo, G., and Ruben, P., “Dynamic Atomic Force Microscopy Methods”, Surface Science Reports, Vol. 47 , pp. 197-301, 2002.
[19]Wu, J. S., and Chou, H. M., “Free Vibration Analysis of a Cantilever Beam Carrying any Number of Elastically Mounted Point Masses with the Analytical-and-Numerical-Combined Method ”, Journal of Sound and Vibration, Vol. 213(2), pp. 317- 332, 1998.
[20]Wu, J. S., and Huang, C. G., “Free and forced vibrations of a timoshenko beam with any number of translational and rotational springs and lumped masses ”, Communications in Numerical Methods in Engineering, Vol. 11, pp. 743-756, 1995.
[21]Wu, J. S., and Chen, D. W., “Dynamic analysis of a uniform cantilever beam carrying a number of elastically mounted point masses with dampers ”, Journal of Sound and Vibration, Vol. 229(3), pp. 549-578, 2000.
[22]Skelton, R. E., Hughes, P., and Hablani, H., “Order Reduction for Models of Space Structures Using Model Cost Analysis”, Journal of Guidance and Control, Vol. 5, pp. 351-357, 1982.
[23]Chang, R. Y., and Wang, M. L., “Model Reduction and Control System Design by Shifted Legendre Polynomial Functions”, Transactions of the ASME, Journal of Dynamic System, Measurement and Control, Vol. 105, pp. 52-55, 1983.
[24]Gevarter, W. B., “Basic Relations for Control of Flexible Vehicles”, AIAA Journal, Vol. 8, pp.666-672, 1970.
[25]Wie, B., and Bryson, A. E., “Modeling and Control of Flexible Space Structures”, Proceedings of the Third VPI&SU/AIAA Symposium, Blacksburg, VA, pp. 153-174, 1981.
[26]Merovitch, L., and Baruh, H., “Control of Self-Adjoint Distributed Parameter System”, Journal of Guidance, Control and Dynamic, Vol. 5, pp. 60-66, 1982.
[27]Basso, M,, Giarre, L., Dahleh, M., and Mezic, I., “Numerical Analysis of Complex Dynamics in Atomic Force Microscopes”, Proceedings of the IEEE Conference on control Applications, Vol. 2, pp. 1026 – 1030, 1998.
[28]Ashhab, M., Salapaka, M., Dahleh, M., and Mezic, I., “Dynamical Analysis and Control of Microcantilevers”, Automatica, Vol. 35, pp. 1663-1670, 1999.
[29]Fang, Y., Feemster, M., Dawson, D., and Jalili, N., “Active Interaction Force Identification for Atomic Force Microscope Applications”, Proceedings of 41st IEEE Conference on Decision Control (CDC’02), Vol. 4, pp. 3678 – 3683, 2002.
[30]Rutzel, S., Lee, S. I., and Raman, A., “Nonlinear Dynamics of Atomic-Force-Microscope Probe Driven in Lennard-Jones Potentials”, The Royal Society, Vol.459, pp. 1925-1948, 2003.
[31]Lee, S. I., Howell, S. W., Raman, A., Reifenberger, R., “Nonlinear Dynamic Perspectives on Dynamic Force Microscopy”, Elsevier Science, pp. 185-198, 2003.
[32]Chang, W. J., Lin, C. M., Lee, J. F., and Lin, S. L., “Determination of Damping Force between Atomic Force Microscope Tips and Sample Using an Inverse Methodology”, Physics Letters A, Vol. 343, pp. 79-84, 2005.
[33]Metin, S., and Hideki, H., “Controlled Pushing of Nanoparticles: Modeling and Experiments”, IEEE/ASME Transactions on Mechatronics, Vol. 5, pp. 199-211, 2000.
[34]Sader, J. E.,“Parallel Beam Approximation for V-shaped Atomic Force Microscope Cantilevers”, Review of Scientific Instruments, Vol. 66, No. 9, 4583-4887, 1995.
[35]Yamanaka, K., Noguchi, A., Tsuji, T., Koike, T., and Goto, T., “Quantitative Material Characterization by Ultrasonic AFM”, Surface and Interface Analysis, Vol. 27, pp.600-606, 1999.
[36]Gibson, C. T., Johnson, D. J., Anderson, C., Abell, C ., and Rayment. T., “Method to Determine the Spring Constant of Atomic Force Microscope Cantilevers”, Review of Scientific Instruments, Vol. 75, pp. 565-567, 2004.
[37]Park, J, H., and Asada, H., “Design and Control of Minimum-Phase Flexible Arms with Torque Transmission Mechanisms”, Proceedings of 1990 IEEE International Conference on Robotics and Automation, Cincinnati, Ohio, pp. 1790-1795, 1990.
[38]Park, J, H., and Asada, H., “Dynamic Analysis of Noncollocated Flexible Arms and Design of Torque Transmission Mechanisms”, ASME Journal of Dynamic System, Measurement and Control, Vol.116, pp. 201-207, 1994.
[39]Stark, M., Guckenberger, R., Stemmer, A., and Stark, R. W., “Estimating the Transfer Function of the Cantilever in Atomic Force Microscopy: A System Identification Approach”, Journal of Applied Physics, Vol.98, pp. 201-207, 1994.
[40]Fang, Y., Feemster, M., Dawson, D., and Jalili, N. M., “Nonlinear Control Techniques for the Atomic Force Microscope System”, Journal of Control Theory and Applications, Vol. 3, pp.85-92, 2005.
[41]李政霖, “原子力顯微鏡探針控制系統之設計”, 國立台灣科技大學, 高分子工程研究所碩士論文, 2005.[42]Meirovitch, L., “Dynamic and Control of Structures”, John Wiley and Sons, New York, 1992.
[43]Kreyszig, E., “Advanced Engineering Mathematics”, Seven Edition, 1993.
[44]Dawson, D., and Jalili, N., “A Fresh Insight Into the Microcantilever-Sample Interaction Problem in Non-Contact Atomic Force Microscopy”, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 126, pp. 327-335, 2004.
[45]Israelachvili, J. N., “Intermolecular and Surface Force”, Academic Press, London, 1991.
[46]Huyskens, P. L., “Intermolecular forces :an introduction to modern methods and results”, Springer-Verlag, New York, 1991.
[47]Cetlinkunt, S., and Yu, W. L., “Closed-Loop Behavior of a Feedback-Controlled Flexible Arm: A Comparative Study”, International Journal of Robotics Research, Vol. 10, pp. 263-275, 1991.
[48]Kuo, C. F., and Lin, S. C., “Lead with Closed-Loop System f Vibration Modes of Rectangular AFM Cantilevers”, Physics Letters A, Vol.312, pp. 158-165, 2003.
[49]Rabe, U., Janser, K., and Arnold, W., “Vibrations of Free and Surface-Coupled Atomic Force Microscope Cantilevers Theory and Experiment”, Review of Scientific Instruments, Vol. 67, pp. 3281-3293, 1996.
[50]Martin, G. D., “On the Control of Flexible Mechanical System”, Ph.D. Dissertation, Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, SUDARR 511, 1978.
[51]Holland, J. H., “Adaption in Natural and Artificial System”, Ann Arbor, University of Michigan Press, 1975.