论文标题
具有扇形结合的非线性的延迟时变系统的绝对指数稳定性标准：一种比较方法
Absolute exponential stability criteria of delay time-varying systems with sector-bounded nonlinearity: a comparison approach
论文作者
论文摘要
本文介绍了带有部门结合的非线性的延迟时间变化系统（DTV）的绝对指数稳定性问题。通过使用正面系统的比较原理和特性，我们得出了连续时间和离散时间非线性DTV的绝对指数稳定性的几个新标准。当应用于时间不变的情况下时，获得的稳定性标准被证明涵盖并扩展了一些先前已知的结果，包括S.K.引起的结果。乌克兰数学杂志的persidskii，第1卷。 57（2005）。理论结果通过现有结果无法处理的示例来说明。
Absolute exponential stability problem of delay time-varying systems (DTVS) with sector-bounded nonlinearity is presented in this paper. By using the comparison principle and properties of positive systems we derive several novel criteria of absolute exponential stability, for both continuous-time and discrete-time nonlinear DTVS. When applied to the time-invariant case, the obtained stability criteria are shown to cover and extend some previously known results, including, in particular, the result due to S.K. Persidskii in Ukrainian Mathematical Journal, vol. 57(2005). The theoretical results are illustrated by examples that can not be treated by the existing ones.
