中立型离散-分布式延迟系统的Rosenbrock数值仿真方法  

Rosenbrock Numerical Simulation Methods for Discrete-distributed Delay Systems of Neutral-type

作　　者：覃婷婷[1] 张诚坚[1] 

机构地区：[1]华中科技大学数学与统计学院,武汉430074

出　　处：《系统仿真学报》2011年第5期864-867,共4页Journal of System Simulation

基　　金：国家自然科学基金(10871078)

摘　　要：在已有常微分方程数值方法的基础上,通过使用适当复合求积公式离散化分布项等技巧,构造了求解非线性中立型离散-分布式延迟系统的Rosenbrock数值仿真方法。针对线性测试系统分析了该方法的渐近稳定性,并给出了一些判据。数值例子验证了该方法的计算有效性及所获稳定性结论。Based on the existed numerical methods of ordinary differential equations,a class of extended Rosenbrock numerical simulation methods for solving neutral discrete-distributed delay systems were constructed by using skills like matching appropriate compound quadrature formulas to discretize the distributed terms.For linear test systems,the asymptotically stability of new methods were investigated and some criteria were derived.Numerical experiments illustrated the computational effectiveness of the obtained methods and the stability results.

关 键 词：中立型离散-分布式延迟系统 ROSENBROCK方法 渐近稳定性 数值仿真 

分 类 号：O241.81[理学—计算数学]