The following time delay system x˙ = Ax(t) +∑r 1 bq∗ i x(t − τi) − bϕ(c ∗ x(t)) is considered, where ϕ: ℝ → ℝ may have discontinuities, in particular at the origin. The solution is defined using the ''redefined nonlinearity'' concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.