On asymptotic stability of a class of time–delay systems

Değer, Serbun Ufuk; Bolat, Yaşar

doi:10.1080/25742558.2018.1473709

Cited by 1 publication

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…D Lehotzky et al, 23 extended the stability and convergence analysis of spectral-element-method for the periodic time DDEs with distributed and multiple delays. Also SU De ger and Y Bolat, 24 studied, the asymptotic stability of time delay system. According to the best of author knowledge, there are no such article in literature that addressed the solution of system of linear time DDEs by spectral collocation method.…”

Section: Introductionmentioning

confidence: 99%

Applications of Legendre spectral collocation method for solving system of time delay differential equations

Khan

Ali

2014

Advances in Mechanical Engineering

View full text Add to dashboard Cite

The numerical techniques are regarded as the backbone of modern research. In literature, the exact solution of time delay differential models are hardly achievable or impossible. Therefore, numerical techniques are the only way to find their solution. In this article, a novel numerical technique known as Legendre spectral collocation method is used for the approximate solution of time delay differential system. Legendre spectral collocation method and their properties are applied to determined the general procedure for solving time delay differential system with detail error and convergence analysis. The method first convert the proposed system to a system of ordinary differential equations and then apply the Legendre polynomials to solve the resultant system efficiently. Finally, some numerical test problems are given to confirm the efficiency of the method and were compared with other available numerical schemes in the literature.

show abstract

Section: Introductionmentioning

confidence: 99%