Title :
Computing Linear and Nonlinear Normal Modes under Interval (and Fuzzy) Uncertainty
Author :
Kosheleva, Olga ; Shpak, Max ; Campos, Marcilia Andrade ; Dimuro, Graçaliz Pereira ; Costa, Antônio Carlos da Rocha
Author_Institution :
Texas Univ., El Paso, TX
Abstract :
For linear systems, it is often possible to combine the original variables into linear combinations ("normal modes") that evolve independently on each other. The transformation to such normal models makes the analysis of the corresponding systems much easier. In this paper, we analyze how this easiness can be extended to nonlinear systems. We also analyze how the results of this analysis are affected by interval and fuzzy uncertainty
Keywords :
approximation theory; fuzzy set theory; genetic algorithms; linear systems; nonlinear systems; fuzzy uncertainty; interval uncertainty; linear systems; nonlinear normal modes; nonlinear systems; Bioinformatics; Computer aided software engineering; Eigenvalues and eigenfunctions; Frequency; Fuzzy systems; Genomics; Linear approximation; Linear systems; Nonlinear systems; Uncertainty;
Conference_Titel :
Fuzzy Information Processing Society, 2006. NAFIPS 2006. Annual meeting of the North American
Conference_Location :
Montreal, Que.
Print_ISBN :
1-4244-0363-4
Electronic_ISBN :
1-4244-0363-4
DOI :
10.1109/NAFIPS.2006.365479
