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.