Perturbation analysis

  • Francesco Bullo
  • Andrew D. Lewis
Part of the Texts in Applied Mathematics book series (TAM, volume 49)


In this chapter we apply perturbation methods to analyze the trajectories of forced affine connection control systems. We consider two types of control signals: periodic, large-amplitude, high-frequency signals, which we refer to as oscillatory; and small-amplitude signals. For both classes of signals, we perform a perturbation analysis that predicts, with some specified level of accuracy, the behavior of the resulting forced affine connection system.


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Copyright information

© Springer Science+Business Media New York 2005

Authors and Affiliations

  • Francesco Bullo
    • 1
  • Andrew D. Lewis
    • 2
  1. 1.Department of Mechanical & Environmental EngineeringUniversity of California at Santa BarbaraSanta BarbaraUSA
  2. 2.Department of Mathematics and StatisticsQueen’s UniversityKingstonCanada

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