Global stability of the solutions of impulsive differential‐difference equations with variable impulsive perturbations

Abstract

Investigates the global stability of the zero solution of an impulsive system of differential‐difference equations with variable impulsive perturbations. By means of piecewise continuous functions which are analogues of Lyapunov’s functions, and of the comparison principle, sufficient conditions for global stability of the zero solution of the systems considered are found.

Citation

Bainov, D.D. and Stamova, I.M. (1997), "Global stability of the solutions of impulsive differential‐difference equations with variable impulsive perturbations", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 16 No. 1, pp. 3-16. https://doi.org/10.1108/03321649710163725