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On differentially dissipative dynamical systems

Forni, F and Sepulchre, R (2013) On differentially dissipative dynamical systems. In: UNSPECIFIED pp. 15-20..

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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: Conference or Workshop Item (UNSPECIFIED)
Divisions: Div F > Control
Depositing User: Unnamed user with email
Date Deposited: 17 Jul 2017 19:13
Last Modified: 09 Sep 2021 03:04
DOI: 10.3182/20130904-3-FR-2041.00038