ABSTRACT

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.

摘要

本文关注线性中性型延迟系统的稳定性分析。本文的主要创新之处在于提出了一种新的稳定性分析方法，称为基于延迟模式的泛函 (DMBF) 方法，用于非线性中性型延迟系统。这是通过弱化在使用 Lyapunov-Krasovskii 泛函 (LKF) 方法时，中性型延迟系统需要一个泛函来实现的，该中性型延迟系统具有在延迟间隔内变化的延迟。借助DMBF方法，得到了线性中性型延迟系统的新稳定性判据。文献中的两个例子说明了所获得标准的有效性。