一类不连续非自治系统的一致最终有界性  

Uniformly Ultimate Boundedness for a Class of Discontinuous Nonautonomous Systems

作　　者：程桂芳[1] 慕小武[1] 丁志帅[2] 

机构地区：[1]郑州大学数学系,郑州450052 [2]郑州交通职业学院基础教学部,郑州450062

出　　处：《应用数学学报》2007年第4期675-681,共7页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10071012号)资助项目.

摘　　要：主要讨论右端不连续的非自治系统在Filippov解意义下的一致最终有界性问题.首先给出不连续系统全局强一致最终有界的定义,并得到了不连续系统全局一致强最终有界的Lya- punov定理.最后给出了在一类带有不连续摩擦项的力学系统中的应用.It is mainly discussed uniformly ultimate boundedness of nonautonomous systems with discontinuous right-hand sides （in the sense of Filippov solutions）. The definition of globally uniformly strongly ultimate boundedness of discontinuous systems is presented firstly. Moreover Lyapunov theorem for globally uniformly strongly ultimate boundedness of discontinuous systems is shown. Finally the result has been applied to a class of mechanical systems with discontinuous friction item.

关 键 词：Filippov解 一致最终有界 不连续系统 非自治系统 

分 类 号：O231.2[理学—运筹学与控制论]