一类非线性微分系统的严格实用稳定性  

Studies on Strict Practical Stability of a Nonlinear Differential System

作　　者：叶凯莉[1] 宋强[2] 陈晨[3] 

机构地区：[1]信阳师范学院工商管理学院,河南信阳464000 [2]信阳职业技术学院数学与计算机科学系,河南信阳464000 [3]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2015年第1期25-28,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11171284;11301453);河南省教育厅科学技术研究项目(13A110775)

摘　　要：运用微分不等式技巧分析了初始时刻不同的非线性微分方程的严格稳定性和严格实用稳定性.把初始时刻不同的非线性微分系统稳定性的有关概念推广到初始时刻不同的非线性微分系统的严格稳定性,提出了几个非线性微分系统初始时刻不同严格稳定性的判定准则和一个初始时刻不同的比较定理.运用这个比较定理,得到一个新的非线性微分方程初始时刻不同的严格稳定性的判定准则.Strict stability and strict practical stability of nonlinear differential systems relative to initial time differ -ence was analyzed by using differential inequalities technique .The concepts of stability of nonlinear differential equa-tions with initial time difference was developed to strict stability of nonlinear differential equations with initial time difference .Several criteria of strict stability of nonlinear differential systems relative to initial time difference were giv -en.A comparison principle with initial time unchanged was presented .By employing the presented comparison princi-ple, a new strict stability criteria of nonlinear differential equations with initial time difference was obtained .

关 键 词：非线性微分系统 严格稳定性 严格实用稳定性 初始时刻不同 

分 类 号：O175.1[理学—数学]