Skip to main content
Log in

On the structure of irreducible state representations of a causal system

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. N. P. Bhatia andO. Hájek,Semi-dynamical systems (to appear).

  2. N. Dunford andI. Schwartz,Linear Operators: Part I, Interscience Publishers Inc., New York, 1958.

    Google Scholar 

  3. H. O. Fattorini, On complete controllability of linear systems,J. Differential Equations 3 (1967), 391–402.

    Google Scholar 

  4. E. W. Griffith andK. S. Kumar, On the observability of non-linear systems: I,J. Math. Anal. Appl. 35 (1971), 135–147.

    Google Scholar 

  5. O. Hájek, Linear semi-dynamical systems,Math. Systems Theory 3 (1967), 195–202.

    Google Scholar 

  6. V. Jurdjevic, Abstract control systems; controllability and observability,SIAM J. Control 3 (1970), 424–439.

    Google Scholar 

  7. R. E. Kalman, Mathematical description of a linear dynamical system,SIAM J. Control 1 (1963), 152–192.

    Google Scholar 

  8. L. Markus andB. Lee,Foundations of Optimal Control Theory, John Wiley, New York, 1967.

    Google Scholar 

  9. M. Mesarović, Auxiliary functions and constructive specification of general systems,Math. Systems Theory 3 (1967), 203–223.

    Google Scholar 

  10. E. F. Moore, Gedanken experiments in sequential machines,Automata Studies, Princeton Univ. Press, Princeton, 1956.

    Google Scholar 

  11. R. J. Nelson,Introduction to Automata, John Wiley, New York, 1968.

    Google Scholar 

  12. E. Pruogovecki,Quantum Mechanics in Hilbert Spaces, Academic Press, New York, 1971.

    Google Scholar 

  13. T. G. Windeknecht, Mathematical systems theory: causality,Math. Systems Theory 1 (1967), 279–289.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jurdjevic, V. On the structure of irreducible state representations of a causal system. Math. Systems Theory 8, 77–89 (1974). https://doi.org/10.1007/BF01761709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01761709

Keywords

Navigation