Stability Criteria of Impulsive Functional Differential Systems when State Variables are Related to Delay at the Time of Impulses

Mathematical modeling of practical situations in the field of engineering, control systems, population dynamics, disease epidemics etc. gives rise to the study of qualitative properties like stability and boundedness of solutions of many differential equations.Thisstudy aimsto establish a new stabilitycriteria forfunctionaldifferential system when the state variable depends on the previous valuesat impulsive moments by using Lyapunov functions and Razumikhin technique.