Skip to main content

Numerical Solution of Linear and Non-linear Singular Systems Using Single Term Haar Wavelet Series Method

  • Conference paper
Book cover Control, Computation and Information Systems (ICLICC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 140))

Abstract

In this paper, a new method known as Single Term Haar Wavelet Series (STHWS) has been presented to obtain the solution for linear and non-linear singular systems. This new approach provides a better effectiveness to find discrete solutions of linear and non-linear singular systems for any length of time t. This is a direct method and can be easily implemented in a digital computer.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Palanisamy, K.R., Balachandran, K.: Single term Walsh series approach to singular systems. Int. J. Control 46, 1931–1934 (1987)

    Article  MATH  Google Scholar 

  2. Balachandran, K., Murugesan, K.: Analysis of different systems via single term Walsh Series method. Int. J. Comput. Math. 33, 171–179 (1990)

    Article  MATH  Google Scholar 

  3. Hsiao, C.H.: State analysis of liner time delayed systems via Haar wavelets. Math. Comput. Simul. 44, 457–470 (1997)

    Article  MATH  Google Scholar 

  4. Hsiao, C.H., Wang, W.j.: State analysis of time varying singular nonlinear systems via Haar Wavelets. Math. Comput. Simul. 51, 91–100 (1999)

    Article  MathSciNet  Google Scholar 

  5. Murugesan, K., Dhayabaran, D.P., Evans, D.J.: Analysis of second order multivariable linear system using the STWS technique and Runge Kutta method. Int. J. Comput. Math. 72, 367–374 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  6. Murugesan, K., Dhayabaran, D.P., Amirtharaj, E.C.H.: A study of second order state space systems of time invariant and time varying circuits using the STWS technique. Int. J. Electron. 89, 305–315 (2002)

    Article  Google Scholar 

  7. Sepehrian, B., Razzaghi, M.: State analysis of time varying singular bilinear systems by single term Walsh series. Int. J. Comput. Math. 80(4), 413–418 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  8. Lepik, U.: Numerical solution of differential equation using Haar wavelets. Math. Comput. Simul. 68, 127–143 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  9. Bujurke, N.M., Salimath, C.S., Shiralashetti, S.C.: Numerical solution of stiff systems from nonlinear dynamics using single term Haar wavelet series. Non linear. Dyn. 51, 595–605 (2008)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Prabakaran, K., Sekar, S. (2011). Numerical Solution of Linear and Non-linear Singular Systems Using Single Term Haar Wavelet Series Method. In: Balasubramaniam, P. (eds) Control, Computation and Information Systems. ICLICC 2011. Communications in Computer and Information Science, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19263-0_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-19263-0_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19262-3

  • Online ISBN: 978-3-642-19263-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics