Skip to main content
SpringerLink
Log in

A degenerate (bounded rate) class of distributed parameter systems

  • Contributed Papers
  • Conference paper
  • First Online:
Distributed Parameter Systems: Modelling and Identification

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 1))

Abstract

A nonlinear distributed parameter class of systems is presented, which is characterized by lacking of derivation with respect to the spatial variable. Due to this degeneracy, investigation of theoretical properties for this class is simplified; on the other hand, this model might have some relevance in the description of important processes in biology, socio-economics as well as engineering.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. BRUNI, A. GERMANI, G. KOCH: An Introduction to Bounded Rate Systems. VII IFIP Conference on Optimization — Nice, Sept. 1975.

    Google Scholar 

  2. C. BRUNI, G. DI PILLO, G. KOCH: Bilinear Systems: An Appealing Class of Nearly Linear Systems in Theory and Applications. IEEE Trans on A.C., Vol. AC-19, n.4.

    Google Scholar 

  3. R.R. MOHLER: Bilinear Control Processes. Academic Press 1973.

    Google Scholar 

  4. R.R. MOHLER, A. RUBERTI: Theory and Applications of Variable Structure Systems. Academic Press 1972.

    Google Scholar 

  5. A. RUBERTI, R.R. MOHLER: Variable Structure Systems with Applications to Economics and Biology. Springer Verlag 1975.

    Google Scholar 

  6. R.A. TAPIA: The Differentiation and Integration of Nonlinear Operators. In: Nonlinear Functional Analysis and Applications. L.B. Rall Ed., Academic Press, 1971.

    Google Scholar 

  7. C. BRUNI, M.A. GIOVENCO, G. KOCH, R. STROM: A Dynamical Model of Humoral Immune Response. Math. Biosc., Vol. 27, 1975.

    Google Scholar 

  8. C. BRUNI, M.A. GIOVENCO, G. KOCH, R. STROM: The Immune Response as a Variable Structure System. In [5].

    Google Scholar 

  9. C. BRUNI, M.A. GIOVENCO G. KOCH, R. STROM: Modelling of Immune Response: a System Approach. In “Theoretical Immunology“. G.I. Bell, A.P. Perelson, G.H. Pimbley Eds., M. Dekkar, to appear.

    Google Scholar 

  10. G.E. LADAS, V. LAKSHMIKANTHAM: Differential Equations in Abstracts Spaces. Academic Press 1972.

    Google Scholar 

  11. J.L. MASSERA: Contributions to Stability Theory. Ann. of Math. Vol. 64, n.1, July 1956.

    Google Scholar 

  12. P.L. FALB: Infinite Dimensional Filtering: The Kalman, Bucy Filter in Hilbert Space. Information and Control, Vol. 11, 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Ancona, Italy

    C. Bruni

  2. University of Rome, Italy

    G. Koch

Authors
  1. C. Bruni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Koch
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Antonio Ruberti

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Bruni, C., Koch, G. (1978). A degenerate (bounded rate) class of distributed parameter systems. In: Ruberti, A. (eds) Distributed Parameter Systems: Modelling and Identification. Lecture Notes in Control and Information Sciences, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0003736

Download citation

  • DOI: https://doi.org/10.1007/BFb0003736

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08405-1

  • Online ISBN: 978-3-540-37195-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation