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arXiv · 1804.04122

Generalizing infinitesimal contraction analysis to hybrid systems

Samuel A Burden·Samuel D Coogan
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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 on a series of examples.

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Samuel A Burden, Samuel D Coogan. 2018-04-11. Generalizing infinitesimal contraction analysis to hybrid systems. https://arxiv.org/abs/1804.04122

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