This paper deals with the stability analysis and controller design for linear systems with time‐varying delays and parameter uncertainties. By choosing appropriate augmented Lyapunov–Krasovskii functionals, a set of linear matrix inequalities is derived to get advanced feasible region of stability and controller gain matrices that guarantee the asymptotic stability of the concerned systems within maximum bound of time delays and its time derivative. To further reduce the conservatism of stabilization criterion, a recently developed mathematical technique that constructed a new augmented zero equality is applied. Finally, two numerical examples are utilized to show the validity and superiority of the proposed methods.

This paper investigates the absolute stability criteria of Lur'e system with time‐varying delays, uncertainties, and sector bounded nonlinearities. By constructing suitable Lyapunov–Krasovskii functionals (LKFs) and utilizing some useful mathematical techniques, an improved delay‐dependent stability criterion is introduced in Theorem 1. Based on the result of Theorem 1, a further enhanced criterion is proposed in Theorem 2 by employing the augmented zero equality approach. Finally, two numerical examples show the improved performance of the criteria by comparing maximum delay bounds.

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