Uniform asymptotic stability for perturbed delay-differential equations
The authors investigate the asymptotic stability of a perturbed system of delay-differential equations \((*)\) \(x' (t)= (A(t)+ B(t)) x(t- r(t, x_t))\). Under suitable assumptions they demonstrate that the zero solution of \((*)\) is uniformly or exponentially asymptotically stable. The results are generalizations of earlier ones obtained by Yoneyama.
perturbed system of delay-differential equations
scientific article; zbMATH DE number 871088