A Dissipation Inequality for the Minimum Phase Property of Nonlinear Control Systems

  • Christian Ebenbauer
  • Frank Allgöwer
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 353)


The minimum phase property is an important notion in systems and control theory. In this paper, a characterization of the minimum phase property of nonlinear control systems in terms of a dissipation inequality is derived. It is shown that this dissipation inequality is equivalent to the classical definition of the minimum phase property in the sense of Byrnes and Isidori, if the control system is affine in the input and the so-called input-output normal form exists.


Minimum Phase Property Dissipation Inequalities Nonlinear Control Systems 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Christian Ebenbauer
    • 1
  • Frank Allgöwer
    • 2
  1. 1.Laboratory for Information and Decision SystemsMassachusetts Institute of TechnologyUSA
  2. 2.Institute for Systems Theory and Automatic ControlUniversity of StuttgartGermany

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