Modeling and Analysis of Modal Switching in Networked Transport Systems
Hante F, Leugering G, Seidman TI (2009)
Publication Type: Journal article
Publication year: 2009
Journal
Publisher: Springer Verlag (Germany)
Book Volume: 59
Pages Range: 275-292
Journal Issue: 2
URI: http://www.springerlink.com/content/v31p353l09057015/
DOI: 10.1007/s00245-008-9057-6
Abstract
We consider networked transport systems defined on directed graphs: the dynamics on the edges correspond to solutions of transport equations with space dimension one. In addition to the graph setting, a major consideration is the introduction and propagation of discontinuities in the solutions when the system may discontinuously switch modes, naturally or as a hybrid control. This kind of switching has been extensively studied for ordinary differential equations, but not much so far for systems governed by partial differential equations. In particular, we give well-posedness results for switching as a control, both in finite horizon open loop operation and as feedback based on sensor measurements in the system. © 2008 Springer Science+Business Media, LLC.
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APA:
Hante, F., Leugering, G., & Seidman, T.I. (2009). Modeling and Analysis of Modal Switching in Networked Transport Systems. Applied Mathematics and Optimization, 59(2), 275-292. https://dx.doi.org/10.1007/s00245-008-9057-6
MLA:
Hante, Falk, Günter Leugering, and Thomas I. Seidman. "Modeling and Analysis of Modal Switching in Networked Transport Systems." Applied Mathematics and Optimization 59.2 (2009): 275-292.
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