摘要
利用微分代数方程理论研究了一类广义生物经济系统的混沌及混沌控制问题.利用数值方法判定得出,随着季节性影响因子的变化,该系统呈现复杂的动态特性,出现混沌现象;利用反馈线性化方法设计控制器,进而制定合理的开发策略,使受控混沌系统的输出跟踪期望的恒值或某一期望的周期轨道,实现对混沌系统的反馈跟踪控制;通过数值仿真说明该控制方法行之有效,可以使处于混沌状态的生物种群平稳增长,并源源不断地为人类提供物质财富.
system by system presents complicated dynamical characteristic hence the chaotic phenomenon along with the change of the seasonal influencing factors on it. Then, a controller is designed by use of feedback linearization to cause the output of chaos system to track an expected constant value or period orbit with a rational developing strategy formulated, thus implementing the feedback tracking control of chaos in the system. Numerical simulations are given to illustrate that the control method is effective in practice and enables the biological population in chaotic states to grow smoothly and offer mankind material wealth for long.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第2期157-160,164,共5页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(60574011)
辽宁省博士启动基金资助项目(1040341)
关键词
微分代数系统
生物经济系统
季节
混沌
跟踪控制
differential-algebraic system
biological economy system
season
chaos
tracking control
