Feedback Equivalence to Passive Nonlinear Systems

  • C. I. Byrnes
  • A. Isidori
  • J. C. Willems
Part of the Progress in Systems and Control Theory book series (PSCT, volume 8)

Abstract

In this paper, we derive conditions under which a nonlinear system can be rendered passive via smooth state feedback and we show that, as in the case of linear systems, this is possible if and only if the system in question has relative degree 1 and is weakly minimum phase. As an application of this analysis, we derive a stabilization result which incorporates and extends a number of stabilization schemes recently proposed in the literature for global asymptotic stabilization of certain classes of nonlinear systems.

Keywords

Manifold 

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Copyright information

© Birkhäuser Boston 1991

Authors and Affiliations

  • C. I. Byrnes
    • 1
  • A. Isidori
    • 1
    • 2
  • J. C. Willems
    • 3
  1. 1.Department of Systems Science and MathematicsWashington UniversityUSA
  2. 2.Dipartimento di Informatica e SistemisticaUniversitá di Roma-“La Sapierza”RomeItaly
  3. 3.Department of MathematicsUniversity of GroningenGroningenThe Netherlands

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