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Symmetry
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Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in...
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Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in 2023

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

Deadline for manuscript submissions: 31 May 2024 | Viewed by 4536

Special Issue Editors

Prof. Dr. Quanxin Zhu

grade E-Mail Website
Guest Editor
School of Mathematical Sciences and Statistics, Hunan Normal University, Changsha 410081, China
Interests: stochastic control; stochastic systems; stochastic stability; stochastic delayed systems; markovian jump systems; stochastic complex networks
Special Issues, Collections and Topics in MDPI journals
Dr. Zuowei Cai

E-Mail Website
Guest Editor
School of Information Science and Engineering, Hunan Women’s University, Changsha 410002, China
Interests: differential inclusions; neural networks; mathematical biology and stability analysis of dynamic systems
Special Issues, Collections and Topics in MDPI journals
Dr. Fanchao Kong

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, China
Interests: the stability of discontinuous systems and applications to the neural networks
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Symmetry is pleased to introduce a Special Issue on the theories and applications related to symmetry/asymmetry. The aim of this Special Issue is to highlight papers that address the dynamics, control, optimization, and applications of nonlinear systems. This has recently become an increasingly popular subject, with an impressive growth concerning applications in engineering, economics, biology, and medicine, and can be considered a veritable contribution to the literature. Original papers that share this objective are especially welcome. 

Prof. Dr. Quanxin Zhu
Dr. Zuowei Cai
Dr. Fanchao Kong
Guest Editors

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

  • symmetry/asymmetry phenomena
  • symmetry dynamics
  • symmetry and differential equations
  • stability and stabilization
  • synchronization
  • symmetry optimization

Published Papers (5 papers)

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Research

35 pages, 542 KiB  
Article
An Optimal Control Perspective on Classical and Quantum Physical Systems
by Mauricio Contreras González, Marcelo Villena and Roberto Ortiz Herrera
Symmetry 2023, 15(11), 2033; https://doi.org/10.3390/sym15112033 - 08 Nov 2023
Viewed by 666
Abstract
This paper analyzes classical and quantum physical systems from an optimal control perspective. Specifically, we explore whether their associated dynamics can correspond to an open- or closed-loop feedback evolution of a control problem. Firstly, for the classical regime, when it is viewed in [...] Read more.
This paper analyzes classical and quantum physical systems from an optimal control perspective. Specifically, we explore whether their associated dynamics can correspond to an open- or closed-loop feedback evolution of a control problem. Firstly, for the classical regime, when it is viewed in terms of the theory of canonical transformations, we find that a closed-loop feedback problem can describe it. Secondly, for a quantum physical system, if one realizes that the Heisenberg commutation relations themselves can be considered constraints in a non-commutative space, then the momentum must depend on the position of any generic wave function. That implies the existence of a closed-loop strategy for the quantum case. Thus, closed-loop feedback is a natural phenomenon in the physical world. By way of completeness, we briefly review control theory and the classical mechanics of constrained systems and analyze some examples at the classical and quantum levels. Full article
(This article belongs to the Special Issue Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in 2023)
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16 pages, 339 KiB  
Article
Well-Posedness and Energy Decay Rates for a Timoshenko-Type System with Internal Time-Varying Delay in the Displacement
by Abdelkader Braik, Safa M. Mirgani, Eltigani I. Hassan and Khaled Zennir
Symmetry 2023, 15(10), 1878; https://doi.org/10.3390/sym15101878 - 06 Oct 2023
Viewed by 721
Abstract
In this work, we consider a Timoshenko-type system in a bounded one-dimensional domain under Dirichlet conditions with time-varying delay and internal friction damping acting in the displacement. First, we show that the system is well-posed using semi-group theory. Then, under appropriate assumptions on [...] Read more.
In this work, we consider a Timoshenko-type system in a bounded one-dimensional domain under Dirichlet conditions with time-varying delay and internal friction damping acting in the displacement. First, we show that the system is well-posed using semi-group theory. Then, under appropriate assumptions on the weights of the delay, the stability of system is obtained via a suitable Lyapunov functional. Full article
(This article belongs to the Special Issue Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in 2023)
26 pages, 8514 KiB  
Article
Symmetric Nonlinear Feedback Control and Machine Learning for Sustainable Spherical Motor Operation
by Marwa Hassan, Eman Beshr, Mahmoud Beshr and Ali M. El-Rifaie
Symmetry 2023, 15(9), 1661; https://doi.org/10.3390/sym15091661 - 28 Aug 2023
Viewed by 822
Abstract
This paper presents a comprehensive evaluation of a new control technique for the sphere motor system, aimed at achieving accurate tracking, robust and dispersion of vibrations. Control methods include the determination of a nonlinear model and the application of feedback linearization, followed by [...] Read more.
This paper presents a comprehensive evaluation of a new control technique for the sphere motor system, aimed at achieving accurate tracking, robust and dispersion of vibrations. Control methods include the determination of a nonlinear model and the application of feedback linearization, followed by the optimization of the proportional derivative (PD) coefficients through the Adaptive Neuro-Fuzzy Inference System. In addition, the system’s reaction to harsh environments is managed using Long Short-Term Memory. In order to gain a deeper understanding, symmetrical environmental disturbances and trajectories are introduced during the testing phase. The results demonstrate the superior performance of the control strategy, with reduced vibrations, faster recovery and confirmed tracking accuracy. In addition, the control method shows its adaptability and reliability, as evidenced by the significant reduction in CO2 emissions compared to conventional PD control methods. The use of symmetric trajectories and visualizations further emphasizes the behavior of the system under symmetric conditions, strengthening the effectiveness and applicability of the control strategy in real-world scenarios. Overall, this study presents a promising solution for converting complex systems under different conditions and making them potentially applicable in various industrial contexts. Full article
(This article belongs to the Special Issue Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in 2023)
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17 pages, 522 KiB  
Article
Fuzzy Adaptive Parameter in the Dai–Liao Optimization Method Based on Neutrosophy
by Predrag S. Stanimirović, Branislav D. Ivanov, Dragiša Stanujkić, Lev A. Kazakovtsev, Vladimir N. Krutikov and Darjan Karabašević
Symmetry 2023, 15(6), 1217; https://doi.org/10.3390/sym15061217 - 07 Jun 2023
Viewed by 868
Abstract
The impact of neutrosophy has increased rapidly in many areas of science and technology in recent years. Furthermore, numerous applications of the neutrosophic theory have become more usual. We aim to use neutrosophy to enhance Dai–Liao conjugate gradient (CG) iterative method. In particular, [...] Read more.
The impact of neutrosophy has increased rapidly in many areas of science and technology in recent years. Furthermore, numerous applications of the neutrosophic theory have become more usual. We aim to use neutrosophy to enhance Dai–Liao conjugate gradient (CG) iterative method. In particular, we suggest and explore a new neutrosophic logic system intended to compute the essential parameter t required in Dai–Liao CG iterations. Theoretical examination and numerical experiments signify the effectiveness of the introduced method for controlling t. By incorporation of the neutrosophy in the Dai–Liao conjugate gradient principle, we established novel Dai–Liao CG iterations for solving large-scale unconstrained optimization problems. Global convergence is proved under standard assumptions and with the use of the inexact line search. Finally, computational evidence shows the computational effectiveness of the proposed fuzzy neutrosophic Dai–Liao CG method. Full article
(This article belongs to the Special Issue Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in 2023)
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17 pages, 791 KiB  
Article
Classical Solutions for the Generalized Kawahara–KdV System
by Svetlin G. Georgiev, A. Boukarou, Keltoum Bouhali, Khaled Zennir, Hatim M. Elkhair, Eltegani I. Hassan, Alnadhief H. A. Alfedeel and Almonther Alarfaj
Symmetry 2023, 15(6), 1159; https://doi.org/10.3390/sym15061159 - 26 May 2023
Cited by 1 | Viewed by 887
Abstract
In this article, we investigate the generalized Kawahara–KdV system. A new topological approach is applied to prove the existence of at least one classical solution and at least two non-negative classical solutions. The arguments are based upon recent theoretical results. Full article
(This article belongs to the Special Issue Advanced Symmetry Methods for Dynamics, Control, Optimization and Applications in 2023)
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