单种群两阶段竞争模型的能控性、能观测性及状态反馈分析  

Controllability, Observability and State Feedback Analysis of a Single-species Two-stage Competition Model

作　　者：侯云艳 华志强[1] 黄玉洁 程研 陈丽莹[1] HOU Yunyan;HUA Zhiqiang;HUANG Yujie;CHENG Yan;CHEN Liying(College of Mathematics and Physics,Inner Mongolia Minzu University,Tongliao 028000,China)

机构地区：[1]内蒙古民族大学数理学院,内蒙古通辽028000

出　　处：《湖北民族大学学报（自然科学版）》2022年第3期344-349,共6页Journal of Hubei Minzu University:Natural Science Edition

基　　金：国家自然科学基金项目(11961053);内蒙古民族大学博士科研启动基金项目(BS459,BS468);内蒙古民族大学自然科学基金资助项目(NMDGP17105,NMDYB18007,YB2020010)。

摘　　要：根据Volterra模型建立单种群不同时期两阶段竞争共生模型,首先通过系统的平衡点分析,确定系统平衡点的稳定性条件;其次根据对系统增加控制,描述系统的能控性与能观测性;最后分析了系统经过状态反馈后的能控性.Based on the Volterra model,a two-stage competition symbiosis model of single species in different periods is established.Firstly,the stability condition of the system is determined by analyzing the equilibrium point of the system.Secondly,the controllability and observability of the system are described by adding control to the system.Finally,the controllability of the system after the state feedback is analyzed.

关 键 词：连续时间线性系统 Volterra模型 能控性 能观测性 状态反馈 

分 类 号：O231.1[理学—运筹学与控制论]