About robust stability of dynamic systems with time delays through fixed point theory (Q1008522)

Applying the contraction map theorem, the author studies the global asymptotic stability for the linear system in \(\mathbb{R}^n\) with delays of the following form: \[ \dot{x}(t) = \sum_{i=0}^r A_ix(t - r_i) + \sum_{i=0}^r \widetilde {A}_i(t)\,x(t - r_i). \] These results are extended to the case of a similar type linear controlled system, where the control is generated according to the feedback linear control law.