Skip to main content

Optimal State Assignment of Asynchronous Parallel Automata

  • Chapter
Design of Embedded Control Systems

Abstract

A problem of race-free state assignment of asynchronous parallel automata is considered. The goal is to encode partial states of parallel automaton using minimal number of coding variables and excluding critical races during automaton operation. Requirements imposing on the partial states codes to eliminate the in-fluence of races are formulated. An exact algorithm to find a minimal solution of the problem of race-free state assignment for parallel automata is suggested. The algorithm provides reducing the computational efforts when searching for state encoding.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

  1. M. Adamski, M. Wegrzyn, Field programmable implementation of current state machine. In: Proceedings of the Third International Conference on Computer-Aided Design of Discrete Devises (CAD DD’99), Vol. 1. Institute of Engineering Cybernetics of the of Belarus Academy of Sciences, Minsk, 4–12 (1999).

    Google Scholar 

  2. L.D. Cheremisinova, Implementation of parallel digital control algorithms by asynchronous automata. Automatic Control and Computer Sciences, 19(2), 78–83 (1985).

    MATH  Google Scholar 

  3. L.D. Cheremisinova, Race-free state assignment of a parallel asynchronous automaton. Upravlyajushchie Sistemy i Mashiny, 2 51–54 (1987) (in Russian).

    Google Scholar 

  4. L.D. Cheremisinova, PLC implementation of concurrent control algorithms. In: Proceedings of the International Workshop “Discrete Optimization Methods in Scheduling and Computer-Aided Design”. Republic of Belarus, Minsk, pp. 190–196 Sept. 5–6 (2000).

    Google Scholar 

  5. Yu.V. Pottosin, State assignment of asynchronous parallel automata with codes of minimum length. In: Proceedings of the International Workshop “Discrete Optimization Methods in Scheduling and Computer-Aided Design”. Republic of Belarus, Minsk, pp. 202–206 Sept. 5–6 (2000).

    Google Scholar 

  6. S.H. Unger, Asynchronous Sequential Switching Circuits. Wiley-Interscience, New York (1969).

    Google Scholar 

  7. A.D. Zakrevskij, Logical Synthesis of Cascade Networks. Nauka, Moscow (1981) (in Russian).

    Google Scholar 

  8. A.D. Zakrevskij, Parallel automaton. Doklady AN BSSR, 28(8), 717–719 (1984) (in Russian).

    MATH  Google Scholar 

  9. A.D. Zakrevskij, Parallel Algorithms for Logical Control. Institute of Engineering Cybernetics of NAS of Belarus, Minsk (1999) (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

Cheremisinova, L. (2005). Optimal State Assignment of Asynchronous Parallel Automata. In: Design of Embedded Control Systems. Springer, Boston, MA. https://doi.org/10.1007/0-387-28327-7_11

Download citation

  • DOI: https://doi.org/10.1007/0-387-28327-7_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-23630-8

  • Online ISBN: 978-0-387-28327-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics