延迟微分代数系统的隐式中点法稳定性判据

The Stability Criteria of Implicit Midpoint Rule for Delay Differential-Algebraic Systems

延迟微分代数系统广泛出现于各工程领域 .针对一类刚性延迟微分代数系统 ,给出了隐式中点法的整体与渐近稳定性判据 ,其判据基于系统的非经典李普希滋条件 .

Delay Differential algebraic Systems (DDAEs) have been seen frequently in the circuit analysis, real time simulation of automatic control systems and the other engineering fields. When the classical Lipschitz constants of the systems are very large, these systems necessarily suffer stiffness. There are only few researches on the numerical solutions of DDAEs, mainly devoting to linear systems and non stiff problems. The criteria of global and asymptotic stability of midpointrule for a class of nonlinear stiff DDAEs with non classical Lipschitz condition are given.