Simulation of fuzzy dynamic systems with multiple fuzzy parameters and initial conditions

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dc.contributor.authorZhang, Taiming
dc.contributor.examiningcommitteePeters,James(Electrical and Computer Engineering) Sepehri,Nariman(Mechanical and Manufacturing Engineering)en_US
dc.contributor.supervisorFung,Wai-keung(Electrical and Computer Engineering)en_US
dc.date.accessioned2012-03-16T19:53:15Z
dc.date.available2012-03-16T19:53:15Z
dc.date.issued2012-03-16
dc.degree.disciplineElectrical and Computer Engineeringen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractUnder some conditions in real world, precise parameters and/or initial values of dynamic systems are hard to be determined. Fuzzy Differential Equation (FDE) is a powerful tool to model dynamical systems with the uncertainty of impreciseness. This thesis presents the first numerical solution for Fuzzy Differential Equations with multiple fuzzy parameters and initial Values (FDEPIV) problems. Previous approaches for solving the FDEs only focused on FDEs with single fuzzy condition. In this thesis, we applied the proper fuzzy arithmetic on Runge-Kutta method for solving the FDEPIV problems with multiple fuzzy parameters and initial conditions. Furthermore, comparing with directly applying the extension principle in solving FDEPIV, the complexity of the proposed method is much lower, and parallelization of the proposed algorithm is feasible. Numerical examples of the FDEPIV problems are presented to demonstrate the effectiveness of the proposed method.en_US
dc.description.noteMay 2012en_US
dc.identifier.urihttp://hdl.handle.net/1993/5196
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectdynamic systemen_US
dc.subjectfuzzy differential equationen_US
dc.titleSimulation of fuzzy dynamic systems with multiple fuzzy parameters and initial conditionsen_US
dc.typemaster thesisen_US
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