宏观生物经济系统线性二次型问题的稳定性分析

Analysis on Stability of Macro-bioeconomy System's Linear Quadratic Problem

本文用控制方法研究宏观生物经济系统,对其进行了线性二次型最优控制设计,给出了该系统的线性二次型问题模型,并对其稳定性进行分析,利用李雅普诺夫稳定性定理,证明了该控制设计的最优控制系统是大范围稳定的,从而得到了该系统在线性二次型控制下保持生物产业经济稳定增长的结论,最后通过仿真验证了结论的正确性。

In this paper, we mainly study the macro-bioeconomic system using control theory , design it via linear quadratic optimal control, and give its LQ problem model. Then we analyze the system＇s stability and prove it is stable on large range because of Lyapunov main stability theorem. Moreover, we get that this macro-bioeconomic system can make its economy keeping increasing steadily. And our conclusion is proven out by the latter simulation.