Sufficient and improved stability robustness conditions that depend both on the size and time derivative of time varying delays are presented. The approach is applied to investigate the problem of finding memoryless state feedback control that simultaneously stabilizes the uncertain system and guarantees an upper bound for some performance index. The perturbations are unknown but norm bounded. The results are derived via Lyapunov– Krasovskii functional and are expressed in terms of linear matrix inequalities. Numerical computations are performed to illustrate the feasibility and the improvements of the results with respect to previous works.
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