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Controllability of distributed parameter systems: Illustrative examples for an algebraic approach.
Author(s) -
Woittennek Frank,
Mounier Hugues
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910005
Subject(s) - controllability , parametrization (atmospheric modeling) , simple (philosophy) , domain (mathematical analysis) , mathematics , algebraic number , variable (mathematics) , property (philosophy) , boundary (topology) , partial differential equation , boundary value problem , order (exchange) , space (punctuation) , mathematical analysis , algebraic equation , pure mathematics , computer science , physics , nonlinear system , philosophy , epistemology , finance , operating system , quantum mechanics , economics , radiative transfer
Abstract Boundary coupled partial differential equations of second order are seen as convolutional systems over a Bézout domain RQ of particular distributions and ultradistributions with compact support. For two simple examples this property of RQ is employed in order two find a flat output, i.e., a variable that allows the parametrization of the system trajectories in an appropriate solution space. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)