报告题目：Translation, solving scheme, and implementation of a periodic and optimal impulsive state control problem

报告人：裴永珍，教授

报告时间：2019年4月22日（周一）10:00—12:00   

报告地点：威廉希尔学术报告厅

报告摘要：The periodic solution of the impulsive state feedback controls (ISFC) has been investigated extensively in the last decades. However, if the ecosystem is exploited in a period mode, what strategies are implemented to optimize the cost function at the minimal cost? Firstly, under the hypothesis that the system has a periodic solution, an optimal problem of ISFC is transformed into a parameter optimization problem in an unspecified time with inequality constraints, and together with the constraint of the first arrival threshold. Secondly, the rescaled time and a constraint violation function are introduced to translate the above optimal problem to a parameter selection problem in a specified time with the unconstraint. Thirdly, gradients of the objective function on all parameters are given to compute the optimal value of the cost function. Finally, three examples involving the marine ecosystem, computer virus, and resource administration are illustrated to confirm the validity of our approaches.

裴永珍，天津工业大学，教授，博士生导师。从事非线性混杂动力系统、生物数学、生物信息以及数据处理技术的理论研究。发表论文100余篇，被SCI检索60篇。近5年来，主持国家自然科学基金2项，参加国家自然科学基金2项，参加完成市级项目3项，主持完成横向课题3项。 入选“天津市高校学科领军人才培养计划。”目前担任国家自然科学基金评审专家, 为《Applied Mathematical Modelling》、《Commun Nonlinear Sci Numer Simulat》、《系统科学与数学》等国内外10多种期刊审稿人，《Communications in Mathematical Biology and Neuroscience》特刊的首席客座编辑, 美国《数学评论》应邀评论员。中国生物数学学会常务理事，天津市数据科学与技术学会副理事长。

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2019年4月16日