双稳系统数值仿真模型的稳定性分析

Stability Analysis for Numerical Simulation Model of Bistable System

数值仿真方法是双稳系统输出特性研究中经常使用的方法。双稳系统离散模型的稳定性分析是对其进行数值仿真研究的基础.以前的研究未能给出模型的稳定性条件。通过理论推导,分析并得到了双稳系统数值仿真模型在不同参数取值下的稳定性条件.在此基础上进行了数值仿真试验,数值仿真结果与理论分析结果相一致,为双稳系统数值仿真研究时的参数选择提供了依据。

Numerical simulation is the commonly used method in the study of output characteristics of bistable system. The stability analysis of the discrete model is the basis for numerical simulation of bistable system. The current researches haven＇t given the stability condition of the simulation model. Through theoretical derivation, the stability conditions of the simulation model with different parameters were proposed. The numerical experiment was carried out and the results coincide with that from the theory. It provides guideline for the choice of system parameters and time step in numerical simulation of bistable system.