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非线性延时微分代数方程和隐式欧拉方法的稳定性分析
姜兰兰, 金香英, 孙乐平
上海师范大学
摘要:
考虑了一类非线性延时微分代数方程隐式欧拉方法的稳定性和渐近稳定性,给出了稳定和渐近稳定的一些充分条件.这些条件便于应用到非线性方程.也证明了隐式欧拉方法是稳定和渐近稳定的.
关键词:  非线性微分代数方程  延迟  隐式欧拉方法
DOI:
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基金项目:
Stability analysis of nonlinear delay differential-algebraic equations and of the implicit euler methods
JIANG Lanlan, JIN Xiangying, SUN Leping
College of Mathematics and Science,Shanghai Normal University
Abstract:
We consider the stability and asymptotic stability of a class of nonlinear delay differential-algebraic equations and of the implicit Euler methods.Some sufficient conditions for the stability and asymptotic stability of the equations are given.These conditions can be applied conveniently to nonlinear equations.We also show that the implicit Euler methods are stable and asymptotically stable.
Key words:  nonlinear differential-algebraic equation  delay  implicit Euler method