应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2005年
2期
328-332
,共5页
广义相对Dalquist数%广义Dalquist数%指数稳定性%非线性系统
廣義相對Dalquist數%廣義Dalquist數%指數穩定性%非線性繫統
엄의상대Dalquist수%엄의Dalquist수%지수은정성%비선성계통
Generalized relative Dahlquist constant%Generalized Dahlquist constant%Exponential stability%Nonlinear systems
对非线性算子引入了一个新概念--广义相对Dalquist数,建立了一般的非线性系统稳定性分析的一种新方法.借助这一新方法,得到了非线性系统指数稳定的充分条件,并给出了解的指数衰减估计.
對非線性算子引入瞭一箇新概唸--廣義相對Dalquist數,建立瞭一般的非線性繫統穩定性分析的一種新方法.藉助這一新方法,得到瞭非線性繫統指數穩定的充分條件,併給齣瞭解的指數衰減估計.
대비선성산자인입료일개신개념--엄의상대Dalquist수,건립료일반적비선성계통은정성분석적일충신방법.차조저일신방법,득도료비선성계통지수은정적충분조건,병급출료해적지수쇠감고계.
In this paper,a novel concept named generalized relative Dahlquist constant is introduced for nonlinear operators, and then a novel and effective approach to stability analysis of nonlinear systems is developed. With this new approach, some sufficient conditions for the exponential stability of nonlinear systems are obtained, and the exponential decay estimation of the solution is also proposed.
