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An Algorithm for Finding Periodic Solutions to Systems of Nonlinear Difference Equations
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)In: Proceedings of the 30th IEEE Conference on Decision and Control, 1991, Vol. 3, 2889-2990 vol.3 p.Conference paper, Published paper (Refereed)
Abstract [en]

An algorithm for finding all N-periodic solutions to systems of nonlinear difference equations is given. The algorithm is based on elimination theory, and in special Gröbner bases. It is applicable to polynomial systems and can handle indeterminate parameters in the system equations. The system is not required to be in state space form; implicit equations are allowed.

Place, publisher, year, edition, pages
1991. Vol. 3, 2889-2990 vol.3 p.
Keyword [en]
Nonlinear difference equations, Elimination theory, Gröbner, Polynomial systems, State-space
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-91673DOI: 10.1109/CDC.1991.261063ISBN: 0-7803-0450-0 (print)OAI: oai:DiVA.org:liu-91673DiVA: diva2:618465
Conference
30th IEEE Conference on Decision and Control, Brighton, United Kingdom, December, 1991
Available from: 2013-04-28 Created: 2013-04-28 Last updated: 2013-07-29

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