On differentially dissipative dynamical systems
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Forni, Fulvio https://orcid.org/0000-0002-5728-0176
Sepulchre, Rodolphe https://orcid.org/0000-0002-7047-3124
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