Trajectory concatenability for systems described by partial differential equations


Rapisarda, Paolo and van der Schaft, Arjan Trajectory concatenability for systems described by partial differential equations. In, Mathematical Theory of Networks and Systems, Melbourne, AU, 09 - 13 Jul 2012.

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Description/Abstract

State maps are constructed for systems of linear partial di�erential equations involving a time and spatial variable. The construction is based on integration by parts with respect to the time variable and factorization of a polynomial matrix which is directly obtained from the di�fferential operator describing the PDEs. It is shown how the resulting state satis�es a partial diff�erential equation which is �rst-order in the time variable.

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 341562
Date Deposited: 27 Jul 2012 08:41
Last Modified: 27 Mar 2014 20:24
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/341562

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