A new estimation method for controllability of semilinear impulsive integro-differential systems

Abstract

Using a comparison result, the measure of noncompactness and fixed point methods, we establish a compactness parameter estimator for a class of well known impulsive integro-differential control systems. Therefore, without the assumption on compactness of the semigroup or that of nonlinearity, we present sufficient conditions of controllability results for the impulsive integro-differential systems. An example is added to illustrate the applications of the main results.