Page 45 - Neural Network Modeling and Identification of Dynamical Systems
P. 45

REFERENCES                                    33
                          acquisition of a data set, which possesses the  [11] Pearson PK. Discrete-time dynamic models. New York–
                          necessary completeness in regard to describing  Oxford: Oxford University Press; 1999.
                          the behavior of the system under consideration.  [12] Steeb WH, Hardy Y, Ruedi S. The nonlinear workbook.
                                                                          3rd ed. Singapore: World Scientific; 2005.
                          As will be shown later, the success of solving the
                                                                       [13] Khalil HK. Nonlinear systems. 3rd ed. Upper Saddle
                          modeling problem depends to a large extent on   River, NJ: Prentice Hall; 2002.
                          how informative the available training set is.  [14] Hinrichsen D, Pritchard AJ. Mathematical systems the-
                                                                          ory I: Modeling, state space analysis, stability and ro-
                          1.3.2.4 Design of Tools for Selection of a      bustness. Berlin, Heidelberg: Springer; 2005.
                                 Particular Model From a Given         [15] Bennett BS. Simulation fundamentals. London, New
                                                                          York: Prentice Hall; 1995.
                                 Class
                                                                       [16] Fishwick PA, editor. Handbook of dynamic system
                            After the family of models for the dynamical  modeling. London, New York: Chapman & Hall/CRC;
                          system has been selected and a representative   2007.
                                                                       [17] Kulakowski BT, Gardner JF, Shearer JL. Dynamic mod-
                          set of data describing its behavior has been ob-  eling and control of engineering systems. 3rd ed. Cam-
                          tained, it is necessary to define a tool that allows  bridge: Cambridge University Press; 2007.
                          us to “extract” a specific model from this fam-  [18] Marinca V, Herisanu N. Nonlinear dynamical systems
                          ily that satisfies a particular set of requirements.  in engineering: Some approximate approaches. Berlin,
                          As such an instrument in the framework of this  Heidelberg: Springer-Verlag; 2011.
                                                                       [19] Ogata K. System dynamics. 4th ed. Upper Saddle River,
                          approach, it is quite natural to use the tools of  New Jersey: Prentice Hall; 2004.
                          neural network learning.                     [20] Arnold VI. Mathematical methods of classical mechan-
                                                                          ics. 2nd ed. Graduate texts in mathematics, vol. 60.
                                                                          Berlin: Springer; 1989.
                                                                       [21] Glazunov YT. Goal-setting modeling. Izhevsk: Regular
                                       REFERENCES                         and Chaotic Dynamics; 2012 (in Russian).
                                                                       [22] Liu B. Theory and practice of uncertain programming.
                           [1] Mesarovic MD, Takahara Y. General systems theory:  Studies in fuzziness and soft computing, vol. 102.
                             Mathematical foundations. New York, NY: Academic  Berlin: Springer; 2002.
                             Press; 1975.                              [23] Martynyuk AA, Martynyuk-Chernenko YA. Uncertain
                           [2] Lin Y. General systems theory: A mathematical ap-  dynamic systems: Stability and motion control. London:
                             proach. Systems science and engineering, vol. 12. New  CRC Press; 2012.
                             York, NY: Kluwer Academic Publishers; 2002.  [24] Ayyub BM, Klir GJ. Uncertainty modeling and analy-
                           [3] Skyttner L. General systems theory: Problems, perspec-  sis in engineering and the sciences. London, New York:
                             tives, practice. 2nd ed. Singapore: World Scientific; 2005.  Chapman & Hall/CRC; 2006.
                           [4] van Gigch JP. Applied general systems theory. 2nd ed.  [25] Klir GJ. Uncertainty and information: Foundations of
                             New York, NY: Harper & Row, Publishers; 1978.  generalized information theory. Hoboken, New Jersey:
                           [5] Boyd DW. Systems analysis and modeling: A macro-  John Wiley & Sons, Inc.; 2006.
                             to-micro approach with multidisciplinary applications.  [26] Klir GJ, Yuan B. Fuzzy sets and fuzzy logic: Theory and
                             San Diego, CA: Academic Press; 2001.         applications. Upper Saddle River, New Jersey: Prentice
                           [6] Kalman RE, Falb PL, Arbib MA. Topics in mathematical  Hall; 1995.
                             system theory. New York, NY: McGraw Hill Book Com-  [27] Piegat A. Fuzzy modeling and control. Studies in fuzzi-
                             pany; 1969.                                  ness and soft computing, vol. 69. Berlin: Springer; 2001.
                           [7] Katok A, Hasselblatt B. Introduction to the modern the-  [28] Etkin B, Reid LD. Dynamics of flight: Stability and con-
                             ory of dynamical systems. Encyclopedia of mathematics  trol.3rd ed.New York,NY: John Wiley&Sons, Inc.;
                             and its applications, vol. 54. Cambridge, Mass: Cam-  2003.
                             bridge University Press; 1995.            [29] Boiffier JL. The dynamics of flight: The equations.
                           [8] Hasselblatt B, Katok A. A first course in dynamics with  Chichester, England: John Wiley & Sons; 1998.
                             a panorama of recent developments. Cambridge: Cam-  [30] Roskam J. Airplane flight dynamics and automatic
                             bridge University Press; 2003.               flight control. Part I. Lawrence, KS: DAR Corporation;
                           [9] Ljung L, Glad T. Modeling of dynamic systems. Engle-  1995.
                             wood Cliffs, NJ: Prentice-Hall; 1994.     [31] Roskam J. Airplane flight dynamics and automatic
                          [10] Holmgren RA. A first course in discrete dynamical sys-  flight control. Part II. Lawrence, KS: DAR Corporation;
                             tems. New York, NY: Springer; 1994.          1998.
   40   41   42   43   44   45   46   47   48   49   50