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Connection Between the Passivity Index and Conic Michael J. McCourt and Panos J. Antsaklis
 

Summary: Connection Between the Passivity Index and Conic
Systems
Michael J. McCourt and Panos J. Antsaklis
Department of Electrical Engineering
University of Notre Dame
Notre Dame, IN 46556
e-mail: mmccour1@nd.edu,antsaklis.1@nd.edu
December, 2009
Technical Report of the ISIS Group
at the University of Notre Dame
ISIS-09-009
Abstract
This report covers open-loop conditions that guarantee closed-loop stability of a feedback
interconnection of two systems. The traditional solutions for this problem are passivity theory
and the small gain theorem. These approaches can be shown to be part of a larger design
framework. Two such larger frameworks are the conic systems framework and the passivity
index framework. This report shows that these two actually reduce to the same open-loop
conditions on the two systems in the interconnection. This connection is shown for the purpose
of applying this generalized framework to switched systems. The recent application of passivity
to switched systems gives one method of guaranteeing that the feedback interconnection of two

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering