摘要
研究了一类基于年龄等级结构的种群系统的适定性和最优控制问题.首先,利用不动点定理证明了模型解的存在唯一性和非负有界性;随后用共轭系统和法锥概念得出了最优控制的反馈控制律;最后利用Ekeland变分原理和不动点定理证明了最优控制的存在唯一性。
An optimal control problem and the basic properties for solutions of a population system of hierarchical age-structured are investigated.First,by using the fixed point theorem,the existence and uniqueness and boundness of the nonnegative solution are proved.Then,a feedback optimal control law is established by means of adjoint system and normal cone concept.Last but not least,we obtain the existence of a unique optimal control via Ekeland variational principle and fixed point theorem.
作者
吴泽栋
雒志学
祁慧敏
WU Zedong;LUO Zhixue;QI Huimin(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070)
出处
《系统科学与数学》
CSCD
北大核心
2023年第8期1934-1951,共18页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金资助项目(11561041)资助课题。
