Research on System Stability with Extended Small Gain Theory Based on Transfer Function

  • Yuqiang Jin
  • Qiang Ma
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 214)

Abstract

Considering the situation that controlled object is described by linear transfer function, a extended small gain theory is proposed and applied in the analysis of system stability. Especially, a comparison between two stable systems is researched and it is useful for the controller design of linear systems. What is worthy pointing out is that this method also can be applied in some general nonlinear systems with a simple transformation. So it is still an important improvement of the small gain theory although only the linear transfer function situation is studied.

Keywords

Small gain theory Transfer function Stability Control 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Yuqiang Jin
    • 1
  • Qiang Ma
    • 1
  1. 1.Department of TrainingNaval Aeronautical and Astronautical UniversityYantaiChina

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