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Summary: Stability of Networked Passive Switched Systems
Michael J. McCourt and Panos J. Antsaklis.
Abstract--In this paper the problem of controlling nonlinear
switched systems over a network with time-varying delay is ad-
dressed. The solution presented is an extension of results from the
control of continuously-varying passive systems over a network
using the wave variable transformation. Background material
is presented on passivity and the wave variable transformation.
The concept of passivity for switched systems is also covered in
this paper. Stability results are then shown for passive switched
systems connected over a network with time-varying delay.
I. INTRODUCTION
Passive systems theory is a widely used tool for the analysis
and synthesis of nonlinear systems [1], [2]. Passivity is a
characterization of system behavior based on energy. Passive
systems store and dissipate energy without generating their
own. This implies that passive systems are Lyapunov stable
and minimum phase. Passivity can be used to assess the
stability of a single system, but it is more restrictive than
directly showing Lyapunov stability. A real benefit is that
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