Skip to main content

Cellular Neural Networks Based Time-Series Approximation for Real Time Systems’ Modeling-and-Identification and Behavior Forecast in Transportation: Motivation, Problem Formulation, and Some Research Avenues

  • Chapter
Autonomous Systems: Developments and Trends

Part of the book series: Studies in Computational Intelligence ((SCI,volume 391))

Abstract

This paper discusses the potential of using “time series approximation” for mathematical modeling, online system identification and forecasting of the dynamical behavior of scenarios in the field of traffic and transportation. The tremendous attention devoted to both modeling and forecasting (in transportation) is justified whereby some challenges and unsolved research issues are discussed. Due to the time-varying dynamics experienced by transportation related systems/scenarios, an appropriate identification process is necessary and should be applied to determine the parameter settings of the corresponding mathematical models in real time. The concept of a simulation and computing platform design based on the cellular neural network (CNN) paradigm will be presented. Then the capability to study the spatio-temporal and time-varying dynamics exhibited by time-varying transportation systems/scenarios will be demonstrated. In the essence, we develop a concept that uses the CNN model as a universal mathematical system-model and/or system-model approximator.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Shang, P., Li, X., Kamae, S.: Chaotic Analysis of Traffic Time Series. J. Chaos, Solitons and Fractals 25, 121–128 (2005)

    Article  Google Scholar 

  2. Medeiros, C.B., Joliveau, M., Jomier, G., De Vuyst, F.: Managing sensor traffic data and forecasting unusual behaviour propagation. Geoinformatica (2010)

    Google Scholar 

  3. Peeta, S., Anastassopoulos, I.: Automatic Real-Time Detection and Correction of Erroneous Detector Data with Fourier Transforms for Online Traffic Control Architectures. Transportation Research Record, N 02-2244 1811, 1–11 (2002)

    Article  Google Scholar 

  4. Casdagli, M., des Jardins, D., Eubank, S., Farmer, J.D., Gibson, J.: Nonlinear Modeling of Chaotic Time Series: Theory and Applications. J. Applied Chaos, 335–380 (1992)

    Google Scholar 

  5. Abarbanel, D.I.H., Brown, R., Kadtke, J.B.: Prediction in Chaotic Nonlinear Systems: Methods for Time Series with Broadband Fourier Spectra. Phys. Rev. A 41, 1783–1807 (1990)

    Article  MathSciNet  Google Scholar 

  6. Gennemark, P., Wedelin, D.: Benchmarks for Identification of Ordinary Differential Equations from Time Series Data. J. Bioinformatics 25, 780–786 (2009)

    Article  Google Scholar 

  7. Eisenhammer, T., Hübler, A., Packard, N., Kelso, J.A.S.: Modeling Experimental Time Series with Ordinary Differential Equations. Biological Cybernetics 65, 107–112 (1991)

    Article  Google Scholar 

  8. McSharry, P.E., Smith, L.A.: Just di it? Reductionism, Modelling and Black-box Forecasting. In: International Workshop on Advanced Black-Box Techniques for Nonlinear Modeling, pp. 106–111. Kluwer Academic Publishers, Belgium (1999)

    Google Scholar 

  9. Daw, C.S., Kennel, M.B., Finney, C.E.A., Connolly, F.T.: Observing and Modeling Nonlinear Dynamics in an internal Engine. Phys. Rev. E 57, 2811–2819 (1998)

    Article  Google Scholar 

  10. Smith, L.A.: Disentangling uncertainty and error: on the predictability of nonlinear systems. J. Nonlinear Dynamics and Statistics, 31–64 (2001)

    Google Scholar 

  11. Beek, P.J., Schmidt, R.C., Morris, A.W., Sim, M.-Y., Turvey, M.T.: Linear and Nonlinear Stiffness and Friction in Biological Rhythmic Movements. Biological Cybernetics 73, 499–507 (1995)

    Article  Google Scholar 

  12. Liu, Z.: A Survey of Intelligence Methods in Urban Traffic Control. International Journal of Computer Science and Network Security (IJCSNS) 7, 105–112 (2007)

    Google Scholar 

  13. Shvetsov, V.I.: Mathematical Modeling of Traffic Flows. J. Automation and Remote Control 64, 1651–1689 (2003)

    Article  MathSciNet  Google Scholar 

  14. Gültekin Cetiner, B., Sari, M., Borat, O.: A Neural Network Based Traffic-Flow Prediction Model. Mathematical and Computational Applications 15, 269–278 (2010)

    Article  Google Scholar 

  15. Amin, S.M., Rodin, E.Y., Liu, A.-P., Rink, K., Garcia-Ortiz, A.: Traffic Prediction and Management via RBF Neural Nets and Semantic Control. Computer- Aided Civil and Infrastructure Engineering 13, 315–327 (1998)

    Article  Google Scholar 

  16. van Mourik, A.M., Daffertshofer, A., Beek, P.J.: Deterministic and stochastic features of Rhythmic Human Movement. Biological Cybernetics 94, 233–244 (2006)

    Article  MathSciNet  Google Scholar 

  17. Lorenz, E.N.: Predictability- A Problem Partly Solved. In: Predictability EXMWF, Seminar Proceedings, Shinfield Park, Reading (1995)

    Google Scholar 

  18. Chua, L.O., Yang, L.: Cellular Neural Networks: Theory. IEEE Transactions on Circuits and Systems 35(10) (October 1988)

    Google Scholar 

  19. Chedjou, J.C., Kyamakya, K., Latif, M.L., Khan, U.A.: Solving Stiff Ordinary Differential Equations and Partial Differential Equations Using Anolog Computing Based on Cellular Neural Networks. ISAST Transactions on Computers and Intelligent Systems 2, 8–14 (2010)

    Google Scholar 

  20. Manganaro, G., Arena, P., Fortuna, L.: Cellular Neural Networks: Chaos, Complexity, and VLSI Processing. Advanced Microelectronics, 269 (1999)

    Google Scholar 

  21. Joliveau, M.: Reduction of Urban Traffic Time Series from Georeferenced sensors, and extractionof spatio-temporal series-in French. PhD thesis, Ecole Centrale Des Arts Et Manufactures, Ecole Centrale de Paris, France (2008)

    Google Scholar 

  22. Stough, R., Yang, G.: Intelligent Transportation Systems. In: Encyclopedia of life support systems (EOLSS). Developed under the Auspices of the UNESCO, Oxford, UK (2003)

    Google Scholar 

  23. Judd, K., Smith, L.A.: Towards Forecasting Bounding Bloxes: Applications to both Waether and Climate. J. Atmos. Sci. 32 (2000)

    Google Scholar 

  24. Hopfield, J.J., Tank, D.W.: Neural computation of decisions in optimization problems. Biological Cybernetics (52), 141–152 (1985)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jean Chamberlain Chedjou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Chedjou, J.C., Kyamakya, K. (2012). Cellular Neural Networks Based Time-Series Approximation for Real Time Systems’ Modeling-and-Identification and Behavior Forecast in Transportation: Motivation, Problem Formulation, and Some Research Avenues. In: Unger, H., Kyamaky, K., Kacprzyk, J. (eds) Autonomous Systems: Developments and Trends. Studies in Computational Intelligence, vol 391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24806-1_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24806-1_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24805-4

  • Online ISBN: 978-3-642-24806-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics