Skip to main content

Control of Interval Temporal Systems

  • Conference paper
  • First Online:
Hybrid Systems V (HS 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1567))

Included in the following conference series:

  • 460 Accesses

Abstract

This paper presents a control framework for interval temporal systems, in particular systems modeled by expressions of Duration Calculus. Duration Calculus is a formal specification language for real-time systems. Its distinguishing feature is to formalize and reason about interval properties of discrete states of systems. In this paper, interval temporal systems are taken as dynamic systems equipped with a state space, and a state transition structure. A control structure is adjoined to such systems, and this makes it possible to restrict the systems behaviors so that the closed systems behaviors can satisfy the required specifications. Some typical control issues are solved within this framework.

This work was supported by the 863 Hi-Tech Programme of China.

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

  1. M. R. Hansen and C. Zhou. Semantics and completeness of duration calculus. Proc. of Real-Time: Theory in Practice, Lectures Notes in Computer Science, No. 600, J.-W. de Bakker, C. Huizing, W. P. de Roever, and G. Rozenberg eds., pp 209–226, Speringer-Verlag, 1992.

    Google Scholar 

  2. P. J. Ramadge and W. M. Wonham. Supervisory control of a class of discrete event processes. SIAM J. Control and Optimization, 25(1), pp 206–230, 1987.

    Article  MathSciNet  Google Scholar 

  3. W. M. Wonham and P. J. Ramadge. On the supremal controllable sublanguage of a given language. SIAM J. Control and Optimization, 25(3), pp 637–659, 1987.

    Article  MathSciNet  Google Scholar 

  4. X. Yu, J. Wang, C. Zhou and P. K. Pandya. Formal design of hybrid systems. Proc. of Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems, Lecture Notes in Computer Science, No. 863, H. Langmaack, W.-P. de Roever and J. Vytopil Eds., pp 738–755, Springer-Verlag, 1994.

    Chapter  Google Scholar 

  5. C. Zhou, C. A.R. Hoare, A. P. Ravn. A calculus of durations. Information Processing Letters, 40(5), pp 269–276, 1991.

    Article  MathSciNet  Google Scholar 

  6. C. Zhou, A. P. Ravn, M. R. Hansen. An extended duration calculus for hybrid real-time systems. Lecture Notes in Computer Science, No. 736, A. Nerode, A. P. Ravn and H. Rischel Eds., pp 36–59, 1993.

    Google Scholar 

  7. C. Zhou and X. Li. Mean value calculus. A Classical Mind, pp 431–451, Prentice-Hall, 1994.

    Google Scholar 

  8. C. Zhou. Duration calculi: an overview. Formal Methods in Programming and Their Applications, Lecture Notes in Computer Science, No. 735, D. Bjorner, M. Broy and I. V. Pottosin Eds., 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yu, X., Chen, Z. (1999). Control of Interval Temporal Systems. In: Antsaklis, P., Lemmon, M., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems V. HS 1997. Lecture Notes in Computer Science, vol 1567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49163-5_22

Download citation

  • DOI: https://doi.org/10.1007/3-540-49163-5_22

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65643-2

  • Online ISBN: 978-3-540-49163-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics