On contraction analysis for hybrid systems
S. Burden, T. Libby, S. Coogan
IEEE Transactions on Automatic Control, submitted November 4, 2018, letter of conditional acceptance received January 1, 2021
Abstract
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 in several examples and applications.