On differentially dissipative dynamical systems
Systems and Control
2013-05-17 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1305.3456,
title = {On differentially dissipative dynamical systems},
author = {Fulvio Forni and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1305.3456},
year = {2013}
}