Stability of Linear Delay Differential Equations using Modified Algebraic Approach

Authors

  • K. H. Mohammedali School of Mathematical Sciences, Universiti Sains Malaysia, 11800, Penang, Malaysia.
  • N. A. Ahmad School of Mathematical Sciences, Universiti Sains Malaysia, 11800, Penang, Malaysia.

Keywords:

Stability of Delay Differential Equations, Characteristic Equation, Linear Delay Differential Equations.

Abstract

An algebraic approach have been developed to study the stability of delay differential equations with m-retarded arguments, each of them is a multiple of fixed unknown time lag. The method has its basis upon transforming the characteristic equation related to the delay differential equation into an equivalent system of two algebraic equations in order to evaluate the value of the time lag which ensures the stability of the delay differential equation.

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Published

2016-10-01

How to Cite

Mohammedali, K. H., & Ahmad, N. A. (2016). Stability of Linear Delay Differential Equations using Modified Algebraic Approach. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 8(7), 157–163. Retrieved from https://jtec.utem.edu.my/jtec/article/view/1299