  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.
