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On differentially dissipative dynamical systems

Accepted version
Peer-reviewed

Type

Conference Object

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Authors

Abstract

Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipativity, named differential dissipativity, by lifting storage functions and supply rates to the tangent bundle. Differential dissipativity is connected to incremental stability in the same way as dissipativity is connected to stability. It leads to a natural formulation of differential passivity when restricting to quadratic supply rates. The paper also shows that the interconnection of differentially passive systems is differentially passive, and provides preliminary examples of differentially passive electrical systems.

Description

Keywords

cs.SY, cs.SY, math.DS

Journal Title

IFAC Proceedings Volumes (IFAC-PapersOnline)

Conference Name

Journal ISSN

1474-6670

Volume Title

46

Publisher

Elsevier BV