Consider an impulsive delay system of the form
It is assumed that all necessary conditions for global existence and uniqueness of solutions for all are satisfied. The proof of the results on exponential stability is based on Razumikhin’s technique. A more general form of impulsive delay systems
is considered too. The exponential stability conditions of general system was obtained. And the result is based on previous theorem for the first system. The particular case of system is considered for linear functions
Examples are presented.