Fuzzy perturbation of vector fields

Fuzzy perturbation of vector fields

We propose in this work a definition of fuzzy perturbation of deterministic vector fields, which could be treated in an analogous way to stochastic perturbation and control perturbation of affine control systems. We study properties of solutions in the sense of Kaleva and Huellermeier (1990, 1997)....

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Barros, L.C., Tonelli, P.A.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Bifurcation
Control systems
Differential equations
Fuzzy control
Fuzzy sets
Fuzzy systems
Mathematics
Stochastic systems
Structural engineering
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Beschreibung
Zusammenfassung:We propose in this work a definition of fuzzy perturbation of deterministic vector fields, which could be treated in an analogous way to stochastic perturbation and control perturbation of affine control systems. We study properties of solutions in the sense of Kaleva and Huellermeier (1990, 1997). The main results show the viability of the deterministic solution and compare the solutions.
DOI:10.1109/NAFIPS.2001.943705