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This paper is concerned with stability analysis of linear neutral-type delay systems. The main novelty of this paper comes from proposing a new stability analysis method called a delay-mode-based functional (DMBF) method for nonliear neutral-type delay systems. This is achieved by weakening the condition that when the Lyapunov–Krasovskii functional (LKF) method is used, a functional is required for a neutral-type delay system with a delay varying in a delay interval. With the help of the DMBF method, new stability criteria of linear neutral-type delay systems are obtained. The effectiveness of the obtained criteria is illustrated by two examples from the literature.

New results on stability analysis of neutral-type delay systems