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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)Report (Other academic)
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
Linköping: Linköping University , 1991.
LiTH-ISY-I, ISSN 8765-4321 ; 1249
Keyword [en]
Nonlinear difference equations, Elimination theory, Gröbner, Polynomial systems, State-space
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-95845OAI: diva2:638308
Available from: 2013-07-29 Created: 2013-07-29 Last updated: 2013-07-29

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Automatic ControlThe Institute of Technology
Control Engineering

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ReferencesLink to record
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