EXPONENTIAL STABILITY OF SOLUTIONS TO NONLINEAR TIME-DELAY SYSTEMS OF NEUTRAL TYPE

We consider a nonlinear time-delay system of neutral equations with constant coefficients in the linear terms d/dt (y(t) + Dy(t - tau)) = Ay(t) + By(t - tau) + F(t, y(t), y(t - tau)), where parallel to F(t, u, v)parallel to <= q(1)parallel to u parallel to(1+w1) + q(2)parallel to v parallel to(1+w2), q(1), q(2), w(1), w(2) > 0. We obtain estimates characterizing the exponential decay of solutions at infinity and estimates for attraction sets of the zero solution.