Some numerical challenges in control theory

Van Dooren, Paul
(1994) Linear Algebra for Control Theory — ISBN: [0-387-94267-X], p. 177-189, published

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  • Van Dooren, PaulUCLouvain
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Abstract
We discuss a number of novel issues in the interdisciplinary area of numerical linear algebra and control theory. Although we do not claim to be exhaustive we give a number of problems which we believe will play an important role in the near future. These are: sparse matrices, structured matrices, novel matrix decompositions and numerical shortcuts. Each of those is presented in relation to a particular (class of) control problems. These are respectively: large scale control systems, polynomial system models, control of periodic systems, and normalized coprime factorizations in robust control.
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Van Dooren, P. (1994). Some numerical challenges in control theory. In P. Van Dooren and B. Wyman (ed.), Linear Algebra for Control Theory (p. p. 177-189). Springer. https://hdl.handle.net/2078.5/64861