Skip to main content
SpringerLink
Log in
Book cover

Category Theory Applied to Computation and Control pp 112–118Cite as

Some structural properties of automata defined on groups

  • Submitted Abstract
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 25))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.W. Brockett and A.S. Willsky, "Finite Group Homomorphic Sequential Systems," IEEE Trans. on Automatic Control, Vol. AC-17, No. 4, August 1972, pp. 483–490.

    Article  MathSciNet  Google Scholar 

  2. R.W. Brockett, "System Theory on Group Manifolds and Coset Spaces," SIAM Journal on Control, Vol. No. 2, 1972, pp. 265–284.

    Google Scholar 

  3. C.W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, N.Y., 1962.

    MATH  Google Scholar 

  4. M. Hausner and J.T. Schwartz, Lie Groups; Lie Algebras, Gordon Breach, N.Y., 1970.

    Google Scholar 

  5. A. Isidori, "Direct Construction of Minimal Bilinear Realizations from Nonlinear Input/Output Maps," IEEE Trans. on Automatic Control, Vol. AC-18, No. 3, December 1973, pp. 626–631.

    Article  MathSciNet  Google Scholar 

  6. M.A. Arbib and E.G. Manes, "Adjoint Machines, State-Behavior Machines, and Duality," COINS Technical Report 73B-1, Dept. of Computer and Information Science, University of Massachusetts at Amherst, Jan. 1973.

    Google Scholar 

  7. A.S. Willsky, Dynamical Systems Defined on Groups: Structural Properties and Estimation, Ph.D. Thesis, Dept. of Aeronautics and Astronautics, M.I.T., Cambridge, Mass., June 1973.

    Google Scholar 

  8. A.S. Willsky, "Invertibility Conditions for a Class of Finite State Systems Evolving on Groups," Proc. of the Eleventh Annual Allerton Conference, Univ. of Illinois, Oct. 3–5, 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Division of Engineering and Applied Physics, Harvard University, 02138, Cambridge, Massachusetts, USA

    Roger W. Brockett

  2. Department of Electrical Engineering, Massachusetts Institute of Technology, 02139, Cambridge, USA

    Alan S. Willsky

Authors
  1. Roger W. Brockett
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alan S. Willsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ernest Gene Manes

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Brockett, R.W., Willsky, A.S. (1975). Some structural properties of automata defined on groups. In: Manes, E.G. (eds) Category Theory Applied to Computation and Control. Lecture Notes in Computer Science, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07142-3_69

Download citation

  • DOI: https://doi.org/10.1007/3-540-07142-3_69

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07142-6

  • Online ISBN: 978-3-540-37426-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation