Volterra积分微分系统的渐近稳定性

来源期刊：中南大学学报(自然科学版)1994年第1期

论文作者：申建华 芮嘉诰

文章页码：111 - 115

关键词：Volterra积分微分系统; 渐近稳定; Liapunov泛函

Key words：Volterra integro-differential systems; asymptotic stability; Liapunov functional

摘    要：通过构造具体的LiApunoV泛函研究了一类VolTerrA积分微分系统零解的渐近稳定性与一致渐近稳定性,得到的结果不仅减弱了BurTon的相应结果的条件,而且能解决己有文献的一些结果所不能解决的无界系统的稳定性问题。

Abstract: By constructing the Liapunov functionals,the asymptotic stablity of Volterra integro-differential systems is studied.The sufficient conditions obtained not only relax the knownconditions given by Burton but also can apply to some unbounded systems which cannot behandled by some known results.