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On differentially dissipative dynamical systems

Forni, F and Sepulchre, R (2013) On differentially dissipative dynamical systems. IFAC Proceedings Volumes (IFAC-PapersOnline), 9. pp. 15-20. ISSN 1474-6670

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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. © IFAC.

Item Type: Article
Uncontrolled Keywords: Contraction analysis Dissipativity Incremental stability
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 12:05
Last Modified: 08 Dec 2014 02:16
DOI: 10.3182/20130904-3-FR-2041.00038