Author/Authors :
Barzinji, Khabat Universiti Teknologi Malaysia (UTM) - Faculty of Science - Department of Mathematical Science, Malaysia , Maan, Normah Universiti Teknologi Malaysia (UTM) - Faculty of Science - Department of Mathematical Science, Malaysia , Aris, Noraini Universiti Teknologi Malaysia (UTM) - Faculty of Science - Department of Mathematical Science, Malaysia
Abstract :
In this paper, a first order linear fuzzy delay differential system is pro-posed by using parametric form of alpha-cut representation of symmetric triangularfuzzy number. The steady state and linear stability of the system are also determined.The steady state is stable in absence of delay by Routh-Hurwitz criteria. For increas-ing delay we determine the positive real roots of the polynomial and developing theconditions. Several examples are considered to illustrate the stability of the steadystate for the proposed system.
Keywords :
Delay Differential Equations , Fuzzy Differential Equations , Fuzzy Matri , ces
