广义随机经济生物系统的建模与控制

项目名称： 广义随机经济生物系统的建模与控制

项目编号： No.61273008

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 张庆灵

作者单位： 东北大学

项目金额： 61万元

中文摘要： 研究广义随机经济生物系统的建模与控制问题。考虑经济利益对随机生物系统的影响，建立广义随机经济生物系统模型，侧重研究系统模型中随机代数方程部分以及其在经济学和生物学中的含义，给出有参考借鉴价值的系统建模方法。在此基础上，探讨系统结构分析手法，研究系统的结构性质与复杂性，包括系统模型解的存在性、惟一性、稳定性和能控性，以及系统的分岔与混沌现象等，具体给出典型的广义随机经济生物系统模型的基本性质和复杂性行为。运用先进的数学理论与控制手段，对广义随机经济生物系统提供有效的控制策略与控制器设计方案，以及计算机仿真技术。本项目的实施与完成，将开辟研究广义随机经济生物系统建模与控制的新途径。对于具有随机和统计特性的广义经济生物系统，阐述系统脉冲行为及其对系统的影响。为进一步研究广义随机经济生物系统提供相关的分析方法和控制策略，完善和发展广义随机系统理论，拓宽其应用研究领域。

中文关键词： 广义随机经济生物系统；系统建模；结构性质；随机稳定性；广义正系统

英文摘要： In this research plan, the study of modeling and control for descriptor stochastic economic biological systems is proposed. Considering impact of economic interest to stochastic biological systems, the descriptor stochastic economic biological system model is established. Here the study of stochastic algebraic equation parts of the system model is emphasized for better understanding of its meaning of economics and biology. The referenced modeling methods for the systems are developed. Then ways to investigate system structures and properties are founded, including the existence and uniqueness of the system solutions, stability and controllability, as well as bifurcation and chaos etc. Especially, the structures and properties of some typical descriptor stochastic economic biological system model are investigated in details. The controller design and control police as well as simulation technique, are provided to make the system model work well. This project will provide a new way to study the descriptor stochastic economic biological systems. For the systems with random and stochastic characteristics, the impulse behavior is discussed to show its influence to the systems. It also will provide analysis method and control police for further study of these kinds of systems, to complete and develop stochastic contr

英文关键词： Descriptor stochastic economic biological systems；System modelling；Structural properties；Stochastic stability；Descriptor positive systems