期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
ON LIAPUNOV FUNCTIONAL IN THEORY OF STABILITY OF SYSTEMS WITH TIME-LAG
1
作者 王联 王慕秋 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1993年第4期317-327,共11页
It is well known,that in the theory of stability in differential equations,Liapunov's second method may be the most important The center problem of Liapunov's second method is construction of Liapunov function... It is well known,that in the theory of stability in differential equations,Liapunov's second method may be the most important The center problem of Liapunov's second method is construction of Liapunov function for concrete problems.Beyond any doubt,construction of Liapunov functions is an art.In the case of functional differential equations,there were also many attempts to establish various kinds of Liapunov type theorems.Recently Burton[2]presented an excellent theorem using the Liapunov functional to solve the asymptotic stability of functional differential equation with bounded delay. However,the construction of such a Liapunov functional is still very hard for concrete problems. In this paper, by utilizing this theorem due to Burton,we construct concrete Liapunov functional for certain and nonlinear delay differential equations and derive new sufficient conditions for asymptotic stability.Those criteria improve the result of literature[1]and they are with simple forms,easily checked and applicable. 展开更多
关键词 ON liapunov FUNCTIONAL IN theory OF stability OF SYSTEMS WITH TIME-LAG
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部