Skip to main content

Time-Inconsistent Regulator Problems

  • Chapter
  • First Online:
Time-Inconsistent Control Theory with Finance Applications

Part of the book series: Springer Finance ((FINANCE))

  • 1187 Accesses

Abstract

In this chapter we study two time-inconsistent versions of the classical linear quadratic regulator. In the first version, time inconsistency enters through a quadratic function of the expected value. In the second version, time inconsistency enters through an explicit dependence of the initial state in the quadratic term. As time passes, the final target point changes.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
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

References

  • Ni, Y.-H., Zhang, J.-F., & Krstic, M. (2018). Time-inconsistent mean-field stochastic LQ problem: Open-loop time-consistent control. IEEE Transactions on Automatic Control, 63(9), 2771–2786.

    Article  MathSciNet  Google Scholar 

  • Qi, Q., & Zhang, H. (2017). Time-inconsistent stochastic linear quadratic control for discrete-time systems. Science China Information Sciences, 60(12), 1–13.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Björk, T., Khapko, M., Murgoci, A. (2021). Time-Inconsistent Regulator Problems. In: Time-Inconsistent Control Theory with Finance Applications. Springer Finance. Springer, Cham. https://doi.org/10.1007/978-3-030-81843-2_9

Download citation

Publish with us

Policies and ethics