【摘要】 研究具有时变时滞和扇区有界非线性的中立型系统的绝对稳定性问题.根据时变时滞分段分析思想,构造一个新的Lyapunov-Krasovskii泛函,得到了一些保守性更小的基于线性矩阵不等式的时滞相关绝对稳定性判据.采用凸组合方法,可以避免忽略Lyapunov-Krasovskii泛函微分中的有用项.数值算例表明了所提出方法的有效性.更多还原

【Abstract】 This paper investigates the problem of the absolute stability of neutral systems with a time-varying delay and sector-bounded nonlinearity.By constructing a novel Lyapunov-Krasovskii functional based on the piecewise analysis method for the time-varying delay systems,less conservative delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities without ignoring any useful terms in the derivative of a Lyapunov-Krasovskii functional by using the convex combination method.Numerical example shows the effectiveness of the proposed method.更多还原