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arXiv · 1208.4742

Flow Invariance on Stratified Domains

Richard Barnard·Peter Wolenski
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Abstract

This paper studies conditions for invariance of dynamical systems on stratified do- mains as originally introduced by Bressan and Hong. We establish Hamiltonian conditions for both weak and strong invariance of trajectories on systems with non-Lipschitz data. This is done via the identification of a new multifunction, the essential velocity multifunction. Properties of this multifunction are investigated and used to establish the relevant invariance criteria.

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Richard Barnard, Peter Wolenski. 2012-08-23. Flow Invariance on Stratified Domains. https://arxiv.org/abs/1208.4742

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