Passivity Concepts as Design Tools

Part of the Communications and Control Engineering book series (CCE)


Only a few system theory concepts can match passivity in its physical and intuitive appeal. This explains the longevity of the passivity concept from the time of its first appearance some 60 years ago, to its current use as a tool for nonlinear feedback design. The pioneering results of Lurie and Popov, summarized in the monographs by Aizerman and Gantmacher [3], and Popov [88], were extended by Yakubovich [121], Kalman [51], Zames [123], Willems [120], and Hill and Moylan [37], among others. The first three sections of this chapter are based on these references from which we extract, and at times reformulate, the most important concepts and system properties to be used in the rest of the book.


Asymptotic Stability Output Feedback Positive Semidefinite Supply Rate LYAPUNOV Stability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 1997

Authors and Affiliations

  1. 1.CESAMEUniversité Catholique de LouvainLouvain-la-NeuveBelgium
  2. 2.Scientific Research LaboratoriesFord Motor CompanyDearbornUSA
  3. 3.Department of Electrical and Computer EngineeringUniversity of CaliforniaSanta BarbaraUSA

Personalised recommendations