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Passivity and L2 Stability of Networked Dissipative Systems Han Yu and Panos J. Antsaklis
 

Summary: Passivity and L2 Stability of Networked Dissipative Systems
Han Yu and Panos J. Antsaklis
Abstract-- It is well known that a negative feedback in-
terconnection of passive systems is passive. However, the ex-
tension of this fundamental property to the case of negative
feedback interconnection of dissipative systems, which is a
more general case, remains largely unaddressed. In this paper,
we demonstrate that a negative feedback interconnection of
dissipative systems, under appropriate assumptions, could be
passive or just L2 stable; we further propose a way to relax
these assumptions. The case when there are time delays in
communication is then addressed, and it is shown that under
appropriate assumptions, the closed-loop system is passive or
L2 stable for non-increasing time delays; moreover, passivity
and L2 stability can be retained by inserting time-varying gains
in the communication path provided a bound on the maximum
rate of change of delay is known.
I. INTRODUCTION
In this paper, we study passivity and L2 stability of a
feedback interconnection of two dissipative systems when

  

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

 

Collections: Engineering