Stability analysis of certain nonlinear differential equation

In this article, a novel stability criterion for all solutions of the neutral equation of the formddt[x(t)+px(t-τ)]+ax(t)-btanhx(t-σ)=0to approach zero at t → ∞ is presented. The condition, which is expressed in terms of linear matrix inequality, is delay-dependent and can be easily solved by various efficient convex optimization algorithm.