Title of article
Linear Fuzzy Delay Differential System: Analysis on Stability ofSteady State
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
From page
1
To page
7
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
Journal title
Matematika
Journal title
Matematika
Record number
2570178
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