Skip to main content

Hierarchical Models in Modern Control Theory

  • Conference paper
  • First Online:
Challenges in Automation, Robotics and Measurement Techniques (ICA 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 440))

Included in the following conference series:

Abstract

Historical and modern approaches towards heterogeneous models and hierarchical modeling in control theory are listed. A unified approach towards a design of hierarchical models of multiagent systems is described and illustrated by the example of diffuse bomb model. Problems of “hierarchical automation” in organization-technical and production systems are described. General problems of hierarchical modeling are underlined.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Novikov, D.: Cybernetics: From Past to Future, 107 p. Springer, Berlin (2016)

    Google Scholar 

  2. Mesarović, M., Mako, D., Takahara, Y.: Theory of Hierarchical Multilevel Systems, 294 p. Academic, New York (1970)

    Google Scholar 

  3. Ren, W., Yongcan, C.: Distributed Coordination of Multi-agent Networks, 307 p. Springer, London (2011)

    Google Scholar 

  4. Shoham, Y., Leyton-Brown, K.: Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations, 504 p. Cambridge University Press, Cambridge (2008)

    Google Scholar 

  5. Wooldridge, M.: An Introduction to Multi-Agent Systems, 376 p. Wiley, New York (2002)

    Google Scholar 

  6. Novikov, D.: Hierarchical models of warfare. Autom. Remote Control 74(10), 1733–1752 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  7. Boyd, S., Parikh, N., Chu, E., et al.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1–122 (2011)

    Google Scholar 

  8. Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V. (eds.): Algorithmic Game Theory, 776 p. Cambridge University Press, New York (2009)

    Google Scholar 

  9. Mansour, Y.: Computational Game Theory, 150 p. Tel Aviv University, Tel Aviv (2003)

    Google Scholar 

  10. Novikov, D., Chkhartishvili, A.: Reflexion and Control: Mathematical Models, 298 p. CRC Press, London (2014)

    Google Scholar 

  11. Forrest, J., Novikov, D.: Modern trends in control theory: networks, hierarchies and interdisciplinarity. Adv. Syst. Sci. Appl. 12(3), 1–13 (2012)

    Google Scholar 

  12. Korepanov, V., Novikov, D.: The diffuse bomb problem. Autom. Remote Control 74(5), 863–874 (2013)

    Article  MATH  Google Scholar 

  13. Novikov, D.: Big data and big control. Adv. Syst. Stud. Appl. 15(1), 21–36 (2015)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dmitry A. Novikov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Novikov, D.A. (2016). Hierarchical Models in Modern Control Theory. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Challenges in Automation, Robotics and Measurement Techniques. ICA 2016. Advances in Intelligent Systems and Computing, vol 440. Springer, Cham. https://doi.org/10.1007/978-3-319-29357-8_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-29357-8_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29356-1

  • Online ISBN: 978-3-319-29357-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics