  Infinitesimal contraction analysis, wherein global asymptotic convergence
results are obtained from local dynamical properties, has proven to be a
powerful tool for applications in biological, mechanical, and transportation
systems. Thus far, the technique has been restricted to systems governed by a
single smooth differential or difference equation. We generalize infinitesimal
contraction analysis to hybrid systems governed by interacting differential and
difference equations. Our theoretical results are illustrated on a series of
examples.
