@article{article_1320286, title={Asymptotic Stability of Neutral Differential Systems with Variable Delay and Nonlinear Perturbations}, journal={Mathematical Sciences and Applications E-Notes}, volume={12}, pages={71–80}, year={2024}, DOI={10.36753/mathenot.1320286}, author={Ademola, Adeleke Timothy and Aderogba, Adebayo and Ogundipe, Opeoluwa Lawrance and Akınbo, Gbenga and Onasanya, Babatunde Oluwaseun}, keywords={Asymptotic stability, Lyapunov-Krasovskii functional, Neutral delay differential system, Perturbation analysis}, abstract={In this paper, the problem of asymptotic stability of a kind of nonlinear perturbed neutral differential system with variable delay is discussed. The Lyapunov-Krasovskii functional constructed, is used to obtain conditions for asymptotic stability of the nonlinear perturbed neutral differential system in terms of linear matrix inequality (LMI). The two new results (delay-independent and delay-dependent criteria) include and extend the existing results in the literature. Finally, an example of delay-dependent criteria is supplied and the simulation result is shown to justify the effectiveness and reliability of the used techniques.}, number={2}, publisher={Murat TOSUN}