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

Year 2024, , 71 - 80, 14.04.2024

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

https://doi.org/10.36753/mathenot.1320286

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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