Asymptotic Stability of Neutral Differential Systems with Variable Delay and Nonlinear Perturbations

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Mathematical Sciences and Applications E-Notes
Volume:12 Issue:2
Asymptotic Stability of Neutral Differential Systems with Variable Delay and Nonlinear Perturbations

Asymptotic Stability of Neutral Differential Systems with Variable Delay and Nonlinear Perturbations

Authors : Adeleke Timothy Ademola, Adebayo Aderogba, Opeoluwa Lawrance Ogundipe, Gbenga Akınbo, Babatunde Oluwaseun Onasanya

Pages : 71-80

Doi:10.36753/mathenot.1320286

View : 80 | Download : 106

Publication Date : 2024-04-14

Article Type : Research Paper

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.
Keywords : Asymptotic stability, Lyapunov Krasovskii functional, Neutral delay differential system, Perturbation analysis

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