Skip to main content

Signaling of Information

  • Chapter
  • First Online:
Coordination Control of Distributed Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 456))

  • 1867 Accesses

Abstract

Decentralized control problems with non-classical information structure relate, by definition, issues of information and control. If different controllers have different observations, a consensus estimate of the system state cannot be generated. To compensate for this information deficiency, any controller can generate an input signal that encodes part of its private information and which is subsequently observed by other controllers. The use of control actions to convey information through the system is known as signaling. Analysis and synthesis of signaling laws is an open and urgent problem of control theory.

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 EPUB and 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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Andersland M, Teneketzis D (1992) Information structures, causality, and nonsequential stochastic control I: design-independent properties. SIAM J Control Optim 30(6):1447–1475

    Article  MathSciNet  MATH  Google Scholar 

  2. Ho YC (1980) Team decision theory and information structures. Proc IEEE 68:644–654

    Article  Google Scholar 

  3. Witsenhausen HS (1971) On information structures, feedback and causality. SIAM J Control 9(2):149–160

    Article  MathSciNet  MATH  Google Scholar 

  4. Nayyar A, Mahajan A, Teneketzis D (2013) Decentralized stochastic control with partial history sharing: a common information approach. IEEE Trans Autom Control (in print)

    Google Scholar 

  5. Varaiya P, Walrand J (1978) On delayed sharing patterns. IEEE Trans Autom Control 23(3):443–445

    Article  MathSciNet  MATH  Google Scholar 

  6. Charalambous CD, Kourtellaris CK, Hadjicostis C (2011) Optimal encoder and control strategies in stochastic control subject to rate constraints for channels with memory and feedback. In: Proceedings of 50th IEEE conference on decision and control (CDC-ECC)

    Google Scholar 

  7. Mitter S, Sahai A (1998) Information and control: Witsenhausen revisited. Lecture notes in control and information sciences, pp 281–293

    Google Scholar 

  8. Grover P, Sahai A (2010) Is Witsenhausen’s counterexample a relevant toy? In: Proceedings of 49th IEEE conference on decision and control (CDC), pp 585–590

    Google Scholar 

  9. Sandell NR, Athans M (1975) A finite-state, finite-memory minimum principle. In: Proceedings of IEEE conference on decision and control, vol 14, pp 637–644, Dec 1975

    Google Scholar 

  10. Kobayashi H, Hanafusa H, Yoshikawa T (1978) Controllability under decentralized information structure. IEEE Trans Autom Control 23(2):182–188

    Google Scholar 

  11. Bismut J (1973) An example of interaction between information and control: the transparency of a game. IEEE Trans Autom Control 18(5):518–522

    Article  MathSciNet  MATH  Google Scholar 

  12. Ho Y-C (1980) Team decision theory and information structures. Proc IEEE 68(6):644–654

    Article  Google Scholar 

  13. Ho Y-C, Kastner MP, Wong E (1978) Teams, signaling, and information theory. IEEE Trans Autom Control 23(2):305–312

    Google Scholar 

  14. Yüksel S, Başar T (2007) Optimal signaling policies for decentralized multicontroller stabilizability over communication channels. IEEE Trans Autom Control 52(10):1969–1974

    Google Scholar 

  15. Liu J, Gupta V (2012) Decentralized control over analog erasure links. In: Proceedings of 51st IEEE conference on decision and control (CDC), pp 6926–6931, Dec 2012

    Google Scholar 

  16. Grover P (2011) Actions can speak more clearly than words. PhD thesis, Electrical Engineering and Computer Sciences, University of California at Berkeley

    Google Scholar 

  17. van Schuppen J (2011) Control of distributed stochastic systems —introduction, problems, and approaches. In: Proceedings of IFAC World Congress

    Google Scholar 

  18. Rotkowitz M, Lall S (2006) A characterization of convex problems in decentralized control. IEEE Trans Autom Control 51(2):274–286

    Article  MathSciNet  Google Scholar 

  19. Martins NC (2006) Witsenhausen’s counter example holds in the presence of side information. In: Proceedings of 45th IEEE conference on decision and control (CDC), pp 1111–1116

    Google Scholar 

  20. Uribe CA, van Schuppen JH (2013) Analysis of signaling in a finite stochastic system motivated by decentralized control. In: Proceedings of 52nd IEEE conference on decision and control (CDC), To appear

    Google Scholar 

  21. Spence M (1974) Market signalling: information transfer in hiring and related screening processes. Harvard University Press, Cambridge

    Google Scholar 

  22. Yüksel S, Başar T (2013) Stochastic networked control systems: stabilization and optimization under information constraints. Springer, Berlin

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to César A. Uribe .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Uribe, C.A., van Schuppen, J.H. (2015). Signaling of Information. In: van Schuppen, J., Villa, T. (eds) Coordination Control of Distributed Systems. Lecture Notes in Control and Information Sciences, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-10407-2_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10407-2_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10406-5

  • Online ISBN: 978-3-319-10407-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics