基于半离散化的中立型时滞系统的数值仿真

Numerical Simulation on Neutral Systems Based on Semi-discretization

中立型时滞系统是现代工程研究中的一个非常普遍的对象,该系统经过降阶近似后可以转换为一个多时滞系统近似求解的问题。提出将半离散化方法拓展到多时滞系统,应用于中立型时滞系统的数值近似求解,并在此基础上分析系统的稳定性,导出其最优控制增益。仿真结果表明,该方法提供了一种有效的求解和设计线性周期性中立型时滞系统的数值手段。

Neutral system is frequently encountered in modern engineering problems. It could be transformed to a multiple delayed system by reducing the order of the derivative terms. Semi-discretization method was introduced to the multiple delayed systems to provide numerical approximate solutions for the neutral system. A detailed discussion on the system stability and an optimal control was proposed. Simulation results show a superior performance of the method, which proves to be a valuable numerical solution for the linear periodic neutral systems.