Skip to main content

A continuation-type method for solving semistate equations

  • Conference paper
  • First Online:
Mathematical Theory of Networks and Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 58))

  • 169 Accesses

Abstract

A continuation-type method is proposed for solving nonlinear time-varying semistate equations. Details of the technique are outlined and proposals made for further study.

The material of the second author is based upon work supported in part by the U.S. National Science Foundation under Grant No. ECS-81-05507.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Dziurla and R. Newcomb, "The Drazin Inverse and Semi-State Equations", Proceedings of the 4th International Symposium on the Mathematical Theory of Networks and Systems Delft, July 1979, pp. 283–289.

    Google Scholar 

  2. R. W. Newcomb, "The Semistate Description of Nonlinear and Time-Variable Circuits", IEEE Transactions on Circuit and Systems, Vol. CAS-28, No.1, January 1981, pp. 62–71.

    Google Scholar 

  3. L. R. Petzold and C. W. Gear, "ODE Methods for the Solution of Differential/Algebraic Systems", Sandia Report SAND 82-8051, October 1982.

    Google Scholar 

  4. S. L. Campbell, "Singular Systems of Differential Equations II", Pitman Books, Ltd., London, 1982.

    Google Scholar 

  5. S. L. Campbell and J. Rodriquez, "Nonlinear Singular Systems: Perturbations and the Contraction Mapping Theorem", preprint, December 1982.

    Google Scholar 

  6. S. L. Campbell and L. R. Petzold, "Canonical Forms and Solvable Singular

    Google Scholar 

  7. J. C. Alexander, "The Topological Theory of an Embedding Method", in "Continuation Methods", edited by H. Wacker, Academic Press, New York, 1978, pp. 37–68.

    Google Scholar 

  8. J. W. Daniel and R. E. Moore, "Computation and Theory in Ordinary Differential Equations", W. H. Freeman & Co., San Francisco, 1970.

    Google Scholar 

  9. B. Dziurla and R. W. Newcomb, "A Semistate Model for Equal Slope Hysteresis" Proceedings of the International 83 Bermuda Winter Symposium on Modelling and Simulation, Bermuda, March 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

P. A. Fuhrmann

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Dziurla, B., Newcomb, R.W. (1984). A continuation-type method for solving semistate equations. In: Fuhrmann, P.A. (eds) Mathematical Theory of Networks and Systems. Lecture Notes in Control and Information Sciences, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031060

Download citation

  • DOI: https://doi.org/10.1007/BFb0031060

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13168-7

  • Online ISBN: 978-3-540-38826-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics