A Model of Optimal Exploitation of Renewable Resources and Related Issues in Optimal Control Theory

• 主讲人：Sergei Aseev (Steklov Mathematical Institute of Russian Academy of Sciences)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2025-06-05 21:00 - 2025-06-05 22:00
• 地点： Online

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Abstract: This presentation focuses on a basic model for the optimal exploitation of renewable resources, alongside pertinent topics in the mathematical theory of optimal control. The model is framed as an infinite horizon optimal control problem. We introduce a recently developed complete version of the Pontryagin maximum principle applicable to such problems. Additionally, we provide an analytical exploration of the problem under consideration. Finally, we discuss the economic interpretation of the results obtained.

 

Bio: Sergei Mironovich Aseev is a Principal Researcher at Steklov Mathematical Institute, Doctor of Sciences in Mathematics, and Corresponding Member of Russian Academy of Sciences.

His research interests include optimal control, dynamic systems, differential inclusions, multivalued mappings, mathematical economics. S.M. Aseev obtained theorems on the approximation of semi-continuous multivalued mappings by continuous ones, and proposed an axiomatic approach to the study of subset spaces and functional spaces of multivalued mappings. Methods were developed for studying non-smooth optimal control problems for differential inclusions using their approximations by classical smooth optimal control problems, and an optimal control problem for a differential inclusion with a phase constraint was investigated.

Prof. Aseev graduated from Moscow State University in 1980, has got his PhD in 1983 and habilitated in 1998. In 2001–2004 he worked as a research fellow at the International Institute for Applied Systems Analysis, Laxenburg, Austria.

He combines his work at Steklov institute with teaching at Moscow State University. Prof. Aseev is an author of multiple highly quoted books and research papers, and laureate of several prestigious prizes.