Skip to main content

Uncertain Expected Value Optimal Control

  • Chapter
  • First Online:
Book cover Uncertain Optimal Control

Part of the book series: Springer Uncertainty Research ((SUR))

  • 669 Accesses

Abstract

Uncertain optimal control problem is to choose the best decision such that some objective function related to an uncertain process driven by an uncertain differential equation is optimized. Because the objective function is an uncertain variable for any decision, we cannot optimize it as a real function. A basic question is how to rank two different uncertain variables.

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 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
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

  1. Liu B (2009) Theory and practice of uncertain programming, 2nd edn. Springer, Berlin

    Book  Google Scholar 

  2. Zhu Y (2010) Uncertain optimal control with application to a portfolio selection model. Cybern Syst 41(7):535–547

    Google Scholar 

  3. Xu X, Zhu Y (2012) Uncertain bang-bang control for continuous time model. Cybern Syst Int J 43(6):515–527

    Google Scholar 

  4. Dai L (1989) Singular control systems. Springer, Berlin

    Book  Google Scholar 

  5. Shu Y, Zhu Y (2017) Stability and optimal control for uncertain continuous-time singular systems. Eur J Control 34:16–23

    Article  MathSciNet  Google Scholar 

  6. Ji X, Zhou J (2015) Multi-dimensional uncertain differential equation: existence and uniqueness of solution. Fuzzy Optim Decis Mak 14(4):477–491

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuanguo Zhu .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zhu, Y. (2019). Uncertain Expected Value Optimal Control. In: Uncertain Optimal Control. Springer Uncertainty Research. Springer, Singapore. https://doi.org/10.1007/978-981-13-2134-4_2

Download citation

Publish with us

Policies and ethics