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基于微分方程组的复杂系统装备发展配置
引用本文:李开生,沈晓军,张慧慧.基于微分方程组的复杂系统装备发展配置[J].北京工业大学学报,2009,35(1):1-7.
作者姓名:李开生  沈晓军  张慧慧
作者单位:武汉数字工程研究所,武汉,430074;北京工业大学机械工程与应用电子技术学院,北京,100124
摘    要:针对综合电子信息系统的体系结构,运用系统工程理论和方法研究了复杂大系统体系下系统装备的发展配置方法和规律.综合利用微分方程和生物LogiStic模型,建立了各类系统装备的发展配置模型,并进行平衡点及其稳定性的分析,得出稳定性条件;采用Matlab工具对模型的方程组进行数值求解,得出了发展配置的结果及趋势图.该方法能较好地为实际应用提供理论参考和决策依据.

关 键 词:微分方程组  Logistic模型  稳定性

Configuration on the Equipments of the Complicated System Based on Differential Equations
LI Kai-sheng,SHEN Xiao-jun,ZHANG Hui-hui.Configuration on the Equipments of the Complicated System Based on Differential Equations[J].Journal of Beijing Polytechnic University,2009,35(1):1-7.
Authors:LI Kai-sheng  SHEN Xiao-jun  ZHANG Hui-hui
Affiliation:1.Wuhan Digital Engineering Research Institute;Wuhan 430074;China;2.College of Mechanical Engineering and Applied Electronics Technology;Beijing University of Technology;Beijing 100124;China
Abstract:According to C~4ISR architecture,the development and configuration on the equipments of the complicated system are researched by using the theory and method of System Engineering.Firstly, differential equation and logistic model are used to establish the developing model for each kind of equipment. Then,the equilibrium points and stability are analyzed,and the factors of the stability are also introduced. Finally,by using Matlab the equations are solved,and it results in a tendency chart.This method can pro...
Keywords:differential equations  logistics  stability  
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