Exponential estimates for linear differential-difference neutral type systems

Abstract

In this paper linear time-invariant neutral type system with one delay is considered. Exponential estimates for the solutions of the system are obtained provided that the system is exponentially stable. Presented approach is based on the fact that the fundamental matrix is the Laplace original for the inverse characteristic matrix. It is not possible to obtain the required estimates directly from this formula, but some special transformations allow to solve the problem.