Optimal Control and Symmetry

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

Deadline for manuscript submissions: closed (15 February 2024) | Viewed by 4030

Special Issue Editor


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Guest Editor
Department of Computers Automatics and Electronics, University Stefan cel Mare of Suceava, 720229 Suceava, Romania
Interests: discrete event systems; control systems

Special Issue Information

Dear Colleagues,

Today, scientific research deals with alternative solutions for developing non-traditional control systems such as model-predictive controllers for constrained linear systems with reduced complexity where the symmetry reduction in optimal control with partial symmetry breaking cost functions is an emerging concept.

The features of symmetry make it possible to analyze and control biosystems and systems driven by artificial intelligence, as well as develop plausible physical models of spiking neural networks with self-organization.

This Special Issue on “Optimal Control and Symmetry” deals with advanced applications illustrating these concepts and delivers an important contribution for the achievement of the next generation of intelligent hybrid biostructures. Different modeling and simulation tools can deliver an alternative to funding the theoretical approach as well as practical implementation of algorithms and data structures from computational group theory used to efficiently search for groups such as hybrid biobots.

Topics of interest include but are not limited to the following: 

  • Theory of symmetry for constrained linear systems;
  • Modeling predictive control problems;
  • Modeling predictive control algorithms with reduced complexity;
  • Generators for the symmetry group into a graph automorphism;
  • Modeling predictive control designs for hybrid biostructures;
  • Modeling predictive controllers for balancing hardware designs of hybrid structures.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Optimal Control and Symmetry” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Dr. Calin Ciufudean
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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

  • predictive control
  • symmetry
  • hybrid structures
  • automorphism
  • biostructures
  • balancing hardware
  • constrained systems

Published Papers (3 papers)

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Research

17 pages, 363 KiB  
Article
Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production
by Exequiel Mallea-Zepeda and Luis Medina
Symmetry 2023, 15(10), 1949; https://doi.org/10.3390/sym15101949 - 21 Oct 2023
Viewed by 652
Abstract
In this work, we analyze a bilinear optimal control problem related to a 2D parabolic–elliptic chemo-repulsion system with a nonlinear chemical signal production term. We prove the existence of global optimal solutions with bilinear control, and applying a generic result on the existence [...] Read more.
In this work, we analyze a bilinear optimal control problem related to a 2D parabolic–elliptic chemo-repulsion system with a nonlinear chemical signal production term. We prove the existence of global optimal solutions with bilinear control, and applying a generic result on the existence of Lagrange multipliers in Banach spaces, we obtain first-order necessary optimality conditions and derive an optimality system for a local optimal solution. Full article
(This article belongs to the Special Issue Optimal Control and Symmetry)
19 pages, 287 KiB  
Article
Multi-Granulation Double Fuzzy Rough Sets
by A. A. Abdallah, O. R. Sayed, E. El-Sanousy, Y. H. Ragheb Sayed, M. N. Abu_Shugair and Salahuddin
Symmetry 2023, 15(10), 1926; https://doi.org/10.3390/sym15101926 - 17 Oct 2023
Viewed by 1003
Abstract
In this article, we introduce two new rough set models based on the concept of double fuzzy relations. These models are called optimistic and pessimistic multi-granulation double fuzzy rough sets. We discuss their properties and explore the relationship between these new models and [...] Read more.
In this article, we introduce two new rough set models based on the concept of double fuzzy relations. These models are called optimistic and pessimistic multi-granulation double fuzzy rough sets. We discuss their properties and explore the relationship between these new models and double fuzzy rough sets. Our study focuses on the lower and upper approximations of these models, which generalize the conventional rough set model. In addition, we suggest that the development of the multi-granulation double fuzzy rough set model is significant for the generalization of the rough set model. Full article
(This article belongs to the Special Issue Optimal Control and Symmetry)
19 pages, 2260 KiB  
Article
Automatic Parking Path Optimization Based on Immune Moth Flame Algorithm for Intelligent Vehicles
by Yan Chen, Longda Wang, Gang Liu and Bing Xia
Symmetry 2022, 14(9), 1923; https://doi.org/10.3390/sym14091923 - 14 Sep 2022
Cited by 4 | Viewed by 1404
Abstract
Automatic parking path optimization is a key point for automatic parking. However, it is difficult to obtain the smooth, accurate and optimal parking path by using traditional automatic parking optimization algorithms. So, based on the automatic parking path optimization model for cubic spline [...] Read more.
Automatic parking path optimization is a key point for automatic parking. However, it is difficult to obtain the smooth, accurate and optimal parking path by using traditional automatic parking optimization algorithms. So, based on the automatic parking path optimization model for cubic spline interpolation, an improved automatic parking path optimization based on the immune moth flame algorithm is proposed for intelligent vehicles. Firstly, to enhance the global optimization performance, an automatic parking path optimization model for cubic spline interpolation is designed by using shortest parking path as optimization target. Secondly, an improved immune moth flame algorithm (IIMFO) based on the immune mechanism, Gaussian mutation mechanism and opposition-based learning strategy is proposed, and an adaptive decreasing inertia weight coefficient is integrated into the moth flame algorithm so that these strategies can improve the balance quality between global search and local development effectively. Finally, the optimization results on the several common test functions show that the IIMFO algorithm proposed in this paper has higher optimization precision. Furthermore, the simulation and semi-automatic experiment results of automatic parking path optimization practical cases show that the improved automatic parking path optimization based on the immune moth flame algorithm for intelligent vehicles has a better optimization effect than that of the traditional automatic parking optimization algorithms. Full article
(This article belongs to the Special Issue Optimal Control and Symmetry)
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