# Article

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Keywords:
time lag; extended nonlinearity; absolute stability
Summary:
The following time delay system $$\dot {x} = Ax(t) + \sum _1^rbq_i^*x(t-\tau _i)-b\varphi (c^*x(t))$$ is considered, where $\varphi \colon \mathbb {R}\to \mathbb {R}$ 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.
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