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Passivity Indices for Symmetrically Interconnected Distributed Systems

Summary: Passivity Indices for Symmetrically Interconnected
Distributed Systems
Po Wu and Panos J. Antsaklis
Abstract--In this paper, the passivity indices for both lin-
ear and nonlinear multi-agent systems with feedforward and
feedback interconnections are derived. For linear systems, the
passivity indices are explicitly characterized, while the passivity
indices in the nonlinear case are characterized by a set of matrix
inequalities. We also focus on symmetric interconnections and
specialize the passivity indices results to this case. An illustrative
example is also given.
Passive systems can be thought of as systems that do not
generate energy, but only store or release the energy which
was provided. The notion of energy here is a generalization
from the traditional notion of energy in physics and is
characterized by a storage function. Passivity is a special case
of dissipativity, which can be applied to linear and nonlinear
systems. The benefit of passivity is that when two passive
systems are interconnected in parallel or in feedback, the


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


Collections: Engineering