Mathematical Preliminaries

  • Zhijie LiuEmail author
  • Jinkun Liu
Part of the Springer Tracts in Mechanical Engineering book series (STME)


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.


  1. 1.
    Goldstein H (1951) Classical mechanics. Addison-Wesley, Massachusetts, USAzbMATHGoogle Scholar
  2. 2.
    Meirovitch L (1967) Analytical methods in vibrations. The Macmillan Company, New York, NYzbMATHGoogle Scholar
  3. 3.
    Polycarpou MM, Ioannou PA (1996) A robust adaptive nonlinear control design. Automatica 32(3):423–427MathSciNetCrossRefGoogle Scholar
  4. 4.
    Rahn CD (2001) Mechatronic control of distributed noise and vibration. Springer, BerlinCrossRefGoogle Scholar
  5. 5.
    Ro K, Kuk T, Kamman J (2010) Active control of aerial refueling hose-drogue systems. In AIAA Guidance, Navigation, and Control Conference. pp 8400Google Scholar
  6. 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):1672–1678MathSciNetCrossRefGoogle Scholar

Copyright information

© Tsinghua University Press 2020

Authors and Affiliations

  1. 1.School of Automation and Electrical EngineeringUniversity of Science and Technology BeijingBeijingChina
  2. 2.School of Automation Science and Electrical EngineeringBeihang UniversityBeijingChina

Personalised recommendations