Symmetry in Optimal Control and Applications

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 30 September 2025 | Viewed by 840

Special Issue Editors


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Guest Editor
College of Science, Nanjing Forestry University, Nanjing 210037, China
Interests: machine learning; optimal control theory; game theory

E-Mail Website
Guest Editor
College of Science, Nanjing Forestry University, Nanjing 210037, China
Interests: uncertain statistics; fractional dynamic system; parameter estimation
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, China
Interests: portfolio selection; uncertain optimization; optimal control
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Special Issue Information

Dear Colleagues,

Optimal control theory is a fundamental area of mathematics that has profound implications across numerous disciplines, including engineering, economics, biology, and more. By providing a framework for determining control strategies that optimize a given performance criterion, optimal control has become an essential tool for solving complex real-world problems. The aim of this Special Issue is to attract leading researchers in these areas in order to include new high-quality results involving their symmetry properties, both from a theoretical and an applied point of view. All articles related to optimal control theory are invited to be submitted for this Special Issue.

The topics of interest for this Special Issue include but are not limited to the following:

  • Uncertain optimal control and application;
  • Adaptive and robust control strategies;
  • Control of distributed and networked systems;
  • Applications of optimal control in robotics and autonomous systems;
  • Optimal control in biological and medical systems;
  • Fractional systems and its applications;
  • Financial models and economic systems;
  • Energy management and optimization;
  • Computational methods for solving optimization problems;
  • Multi-agent and distributed control systems.

Dr. Xin Chen
Dr. Liu He
Dr. Bo Li
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • optimal control
  • robust control
  • uncertainty theory
  • computational methods
  • applications in robotics
  • fractional systems
  • biological systems
  • economic systems
  • energy optimization
  • symmetry in financial models and economic systems

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Published Papers (1 paper)

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Research

11 pages, 277 KiB  
Article
A New Method of Teaching Quality Evaluation Based on the α-Pessimistic Shapley Value
by Yin Gao
Symmetry 2024, 16(11), 1556; https://doi.org/10.3390/sym16111556 - 20 Nov 2024
Viewed by 435
Abstract
Coalitional game with uncertain payoffs driven by uncertain variables stands for uncertain coalitional game. A α-pessimistic Shapley value as the solution of uncertain coalitional game is proposed in this paper, which can be played an important role in solving the problem of [...] Read more.
Coalitional game with uncertain payoffs driven by uncertain variables stands for uncertain coalitional game. A α-pessimistic Shapley value as the solution of uncertain coalitional game is proposed in this paper, which can be played an important role in solving the problem of profit allocation. Moreover, the α-pessimistic Shapley value is proved to be the only value satisfying symmetry, dummy and additivity. Based on the α-pessimistic Shapley value, a new method of teaching quality evaluation in the institutions of higher learning is presented. In order to obtain the index of teaching quality evaluation in uncertain environments, an α-pessimistic multilinear extension is defined. Meanwhile, some properties of α-pessimistic multilinear extension are investigated successfully. Moreover, the problem of teaching quality evaluation are considered in this paper. Full article
(This article belongs to the Special Issue Symmetry in Optimal Control and Applications)
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