Skip to main content

On mathematical systems theory

  • Chapter
Book cover Systems: Theory and Practice

Part of the book series: Advances in Computing Science ((ACS))

Abstract

Intuitively, systems are, frequently hierarchical, aggregations of physical or mental objects, composed either by nature or composed by us for a certain purpose or for logical reasons according observable and distinguishable “properties”. Properties can be physical or logical qualities and quantities, location in physical space, behavior in physical time, physical or logical relationships between objects.

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

  • Albrecht, R.F. (1980): Concept of a Multi-Processor Processing Unit. Computing 25, pp 1–16.

    Article  MathSciNet  MATH  Google Scholar 

  • Albrecht, R.F. (1992); Design of an optional Control-and Dataflow Multiprocessor, Workshop on Parallel Processing, TU Clausthal, Informatik Report 92/1, pp 63–76.

    Google Scholar 

  • Albrecht, R.F. (1994a) “Some Basic Concepts of Object Oriented Databases”, System Science, vol.20, No.1, Wroclaw, pp 17–30.

    MathSciNet  Google Scholar 

  • Albrecht, R.F. (1994b): Modelling of Computer Architectures, Proc. of the First International Conference on Massively Parallel Computing Systems (MPCS), IEEE Computer Society Press, pp 434–442.

    Google Scholar 

  • Albrecht, R.F. (1994c): Modelling of Discrete Systems, Proc. of the 1994 Human Interaction with Complex Systems Symposium, SPIE, Greensboro, N.C., pp 204–214.

    Google Scholar 

  • Albrecht, R.F. (1995): On the Structure of Discrete Systems, L. N. in Computer Science, Pichler, F., Diáz, R.M., Albrecht, R. (Eds.), Computer Aided Systems Theory, Springer, Heidelberg-New York, pp 3–18.

    Google Scholar 

  • Albrecht, R.F. (1996a): The Structure of Discrete Systems, Trends in Theoretical Informatics, Albrecht, R., Herre, H. (eds.), Austrian Computer Society, Vienna, pp 127–144.

    Google Scholar 

  • Albrecht, R.F. (1996b): Hierarchical Data Flow Concepts, Proc. 2cd Int. Conf. on Massively Parallel Computer Systems, Ischia 96, IEEE Computer Society Press, Los Alamitos, Ca., pp 8–14.

    Google Scholar 

  • Albrecht, R.F. (1996c) Remarks on logical modelling of manufacturing systems, Proc. of the Workshop “A new mathematical approach to Manufacturing Engineering”, publ. by EICAS Automazione, Torino, pp 85–89.

    Google Scholar 

  • Albrecht, R.F.(1997): Systems with Topological Structures. Proc. 1st Int. Conf. on “Computing Anticipatory Systems” (CASYS’97) Liège, Belgium, Aug. 11–15, ed. D. Dubois.

    Google Scholar 

  • Albrecht, R.F., Németh G. (1997): A Generic Model for Knowledge Bases. Proc. 9th Int. Conf. on Systems Research, Informatics and Cybernetics. Baden-Baden, Germany, Aug. 18–23, ed. G.E. Lasker.

    Google Scholar 

  • Allen, J. F. (1984): Towards a General Theory of Actions and Time. Artificial Intelligence 23, pp 123–154.

    Article  MATH  Google Scholar 

  • Bic, L. (1992): A Process-Oriented Model for Efficient Execution of Data Flow Programs, in Data Flow Computing, J.A. Sharp ed., Ablex Publ. Corp., Norwood, N.J., pp 332–347.

    Google Scholar 

  • Bourbaki, N. (1951): Topologie Général, Act. Sc. In. 1142, Hermann & Cde, Paris, pp 40, 41.

    Google Scholar 

  • Kulisch U. (1975): Formalization and Implementation of Floating Point Arithmetic, Computing 14, pp 323–348.

    Article  MathSciNet  MATH  Google Scholar 

  • Kulisch U., W.L. Miranker (1981). Computer Arithmetic in Theory and Practice, Acad. Press, New York.

    MATH  Google Scholar 

  • Kulisch U. (1996). Numerical Algorithms with Automatic Result Verification. Am. Math. Soc. Lect. in Appl. Math., 32.

    Google Scholar 

  • Mesarovic M.D., Y. Takahara (1989): Abstract Systems Theory, L.N. in Control and Information Science, Springer, Heidelberg-New York.

    Google Scholar 

  • Rosen R. (1985): Anticipatory Systems, Pergamon Press, New York.

    MATH  Google Scholar 

  • Zadeh L.A. (1965): Fuzzy Sets, Information and Control 8.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Wien

About this chapter

Cite this chapter

Albrecht, R.F. (1998). On mathematical systems theory. In: Albrecht, R. (eds) Systems: Theory and Practice. Advances in Computing Science. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6451-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-6451-8_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83206-6

  • Online ISBN: 978-3-7091-6451-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics