随机时滞非线性系统的新噪声到状态稳定性  

New Noise-to-State Stability of Random Delayed Nonlinear Systems

作　　者：薛建秀 吕文[1] XUE Jian-xiu;LYU Wen(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2022年第1期7-12,共6页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：山东省自然科学基金资助项目(ZR2017MA015,ZR2020MA033);国家自然科学基金资助项目(11871076,72072154)。

摘　　要：研究了随机时滞非线性系统的噪声到状态稳定性问题。运用一致渐近稳定函数,给出了判定该系统解的存在唯一性的新的充分条件,并进一步得到了新的噪声到状态稳定性的判据。结果表明,本文给出的稳定性定理放宽了原有经典结果中的限制。The noise-to-state stability of random nonlinear systems with time-varying delay is investigated in this paper.With the aid of the notion of the uniformly asymptotically stable function,a new sufficient condition is given to guarantee the existence and uniqueness of solutions to random nonlinear time-delay systems,and some new stability criteria on noise-to-state stability are further established.It is shown that the obtained stability theorems relax the restrictions given in the existing classical approaches.

关 键 词：随机时滞非线性系统 一致渐近稳定函数 噪声到状态稳定性 

分 类 号：O211.61[理学—概率论与数理统计]