k-STABILITY OF NONLINEAR NEUTRAL DELAY SYSTEMS

摘要

In this paper, we first introduce the concept of k- globally asymptotic stability and present a differential-difference inequality with infinite delay. By combining nonlinear inequality and nonlinear variation-of-parameters formula, we derive the k-globally asymptotic stability criteria for nonlinear neutral system with infinite delay. In the end of this paper, an example is given to illustrate our theory.