Abstract
In this paper, we consider non-linear systems in state-dependent coefficient form, i.e. non-linear systems expressed in a linear structure with state-dependent coefficient matrices. In a previous paper, we showed by means of a counter example that conditions existing in literature, which were claimed to be sufficient for global asymptotic stability, in fact are not sufficient. In this paper, we show that for pseudo-linear systems with coefficient matrices that depend on the state in a periodic way, the referred existing conditions remain insufficient. Hence, the addition of the requirement that the state dependency of the coefficient matrices is periodic, does not contribute in achieving global asymptotic stability.