85 articles for “Asymptotic”

Research ArticleOpen accessIn the abstractDynamical Model for Determining Human Susceptibility to Dengue FeverSurapol Naowarat, Thanon Korkiatsakul, I. Ming TangProblem statement: Mathematical models are a useful tool for understanding and describing the transmission of diseases such as dengue fever, one of the most prevalently emerging diseases common to tropical and subtropical areas throughout South East Asia. By taking into account human susceptibility to disease, the dynamics of a dengue disease model is proposed. Approach: Using standard methods for analyzing … …American Journal of Applied Sciences, Vol. 8, Issue 11 · 28 Sep 2011 · 7,735 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSynchronization of Chaos Systems Using Fuzzy LogicMohammad Ababneh, Issa Etier, Mahmoud Smadi, Jasim GhaebProblem statement: This study presented a new and systematic method to robustly synchronize uncertain chaos systems. It was derived based on the observer approach for synchronization, where error dynamics was made asymptotically stable around the zero to accomplish synchronization. Approach: This method viewed the synchronization problem as a control problem in order to make use of the literature available in … …Journal of Computer Science, Vol. 7, Issue 2 · 25 Feb 2011 · 7,642 accessesView PDF Cite

Research ArticleOpen accessIn the abstractEffect of Multicollinearity on Power Rates of the Ordinary Least Squares EstimatorsO.O. Alabi, Kayode Ayinde, T.O. OlatayoInferences on the parameter estimates of Ordinary Least Square (OLS) estimator in regression model when regressors exhibit multicollinearity is a problem in that large standard errors of the regression coefficients which cause low t-statistic value often result into the acceptance of the null hypothesis. This paper, therefore, makes efforts to investigate the effect of multicollinearity on the power rates of … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 7,880 accessesView PDF Cite

Research ArticleOpen accessIn the abstractInduction Motor Flux Estimation using Nonlinear Sliding ObserversHakiki Khalid, Mazari Benyounès, Djaber Sid’AhmedA nonlinear sliding flux was proposed for an induction motor. Its dynamic observation errors converge asymptotically to zero, independently from the inputs. The aim of this work was to study the robustness of this observer with respect to the variation of the rotor resistance known to be a crucial parameter for the control. The dynamic performance of this sliding observer … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 6,794 accessesView PDF Cite

Research ArticleOpen accessIn the abstractPeriodic and Non Periodic (Complex) Behavior of a Model of Bioreactor With Cell RecyclingG. Ibrahim, M. A. Ramadan, S. A.A. El-Marouf, A. M. Al-MahdiA structured model of bioreactor for an activated sludge process was presented. The stability and bifurcation characteristics of the model are investigated, the bifurcation analysis of the model shows static and complex dynamic behavior (periodic and complex) over a wide range of the model parameters. The model exhibits a new interesting behavior (in some range of parameters) including four static … …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 6,776 accessesView PDF Cite