Skip to main content
SpringerLink
Log in
Book cover

PDE Modeling and Boundary Control for Flexible Mechanical System pp 17–24Cite as

Mathematical Preliminaries

  • Chapter
  • First Online:

  • 482 Accesses

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

Abstract

PDE is the equation that reflects the constraint relationship between time and space variables, and models in many domains can be described by PDE. Here we introduce two kinds of partial differential equations that are used in this book and are most widely used in engineering field.

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

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   109.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
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

Learn about institutional subscriptions

References

  1. Goldstein H (1951) Classical mechanics. Addison-Wesley, Massachusetts, USA

    MATH  Google Scholar 

  2. Meirovitch L (1967) Analytical methods in vibrations. The Macmillan Company, New York, NY

    MATH  Google Scholar 

  3. Polycarpou MM, Ioannou PA (1996) A robust adaptive nonlinear control design. Automatica 32(3):423–427

    Article  MathSciNet  Google Scholar 

  4. Rahn CD (2001) Mechatronic control of distributed noise and vibration. Springer, Berlin

    Book  Google Scholar 

  5. Ro K, Kuk T, Kamman J (2010) Active control of aerial refueling hose-drogue systems. In AIAA Guidance, Navigation, and Control Conference. pp 8400

    Google Scholar 

  6. Wen C, Zhou J, Liu Z, Hongye S (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Autom Control 56(7):1672–1678

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

    Zhijie Liu

  2. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China

    Jinkun Liu

Authors
  1. Zhijie Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jinkun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhijie Liu .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Tsinghua University Press

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Liu, Z., Liu, J. (2020). Mathematical Preliminaries. In: PDE Modeling and Boundary Control for Flexible Mechanical System. Springer Tracts in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-2596-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-2596-4_2

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-2595-7

  • Online ISBN: 978-981-15-2596-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation