Stability robustness bounds for linear systems with multiple time-varying delayed perturbations

This paper presents the robustness bounds of delay-independent asymptotic stability for linear systems with multiple time-varying delayed perturbations including both nonlinear delayed perturbations and linear unstructured/structured perturbations in the delayed states. The case of arbitrary unknown but constant delays is included in the results as a special case. All of the obtained bounds can be maximized by choosing some appropriate free parameter matrices. In six illustrative examples, it is shown that all of the stability robustness bounds obtained by the proposed methods are larger than the existing ones in the literature.