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Symmetry
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Advances in Adaptive Control and Intelligent Control of Complex Nonlinear...
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Advances in Adaptive Control and Intelligent Control of Complex Nonlinear Systems

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

Deadline for manuscript submissions: closed (31 May 2022) | Viewed by 5419

Special Issue Editors

Prof. Dr. Jing Li

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Xidian University, Xi’an 710071, China
Interests: adaptive control; cyber physics systems; complex nonlinear systems
Dr. Zhaohui Zhang

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Xidian University, Xi’an 710071, China
Interests: adaptive control; cyber physics systems; complex nonlinear systems

Special Issue Information

Dear Colleagues,

Adaptive control and intelligent control have received wide attention in the system and control area with symmetry, and the application examples in practice are widely available and cover areas as diverse as robotics, motion control, process control, automotive applications, aerospace systems, ships and underwater vehicles, thermal control, manufacturing, biological systems, and so on.

With the development and progress of science and technology, these systems are becoming increasingly complex and difficult to design and verify. At the same time, the requirements for dynamic performances and safety are also increasing. The development of systematic methods for efficient and reliable design of complex nonlinear systems is a key issue in control technology and industrial applications, and thus it is currently of high interest to control engineers, computer scientists and mathematicians in research institutions and industrial sectors.

The presented Special Issue is open to contributions (original research papers, review and perspective articles) related to recent advances in adaptive control and intelligent control of complex nonlinear systems. The topics of interest for this issue include but are not limited to:

- Symmetry-based industrial robot and service robot;

- Theory and method of intelligent control; Intelligent computing and machine learning;

- Spacecraft control;

- Information processing and control of symmetry-based unmanned system;

- Network cluster and networked control;

- Multi-agent systems control;

- Fault diagnosis and system operation safety;

- Theory and method of complex systems with symmetry;

- Neural or fuzzy approaches to complex nonlinear systems;

Please note that all submitted papers must be within the general scope of the Symmetry journal.

Prof. Dr. Jing Li
Dr. Zhaohui Zhang
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

  • adaptive control
  • intelligent control
  • nonlinear systems

Published Papers (3 papers)

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Research

13 pages, 809 KiB  
Article
On the τ Decomposition Method for the Stability and Bifurcation of the TCP/AQM Networks versus Time Delay
by Hui-Long Jin, Tian-Le Di, Hong Yu and Ran-Ran Zhang
Symmetry 2022, 14(3), 463; https://doi.org/10.3390/sym14030463 - 25 Feb 2022
Cited by 1 | Viewed by 1151
Abstract
This paper investigates the nonlinear dynamics of Transmission Control Protocol and Active Queue Management (TCP/AQM) networks, including the local stability and periodic bifurcation. The parameter of transportation delay affects the stability of the dynamical systems. One of the purposes of our work is [...] Read more.
This paper investigates the nonlinear dynamics of Transmission Control Protocol and Active Queue Management (TCP/AQM) networks, including the local stability and periodic bifurcation. The parameter of transportation delay affects the stability of the dynamical systems. One of the purposes of our work is to determine the delay stable interval of the transportation network. It is found that there is only one critical value of network delay by the τ decomposition technique. When the delay passes the critical point, the system performs Hopf bifurcation with a pair of symmetry with purely imaginary roots (PIR). In addition, the other purpose is to consider the stability of bifurcating periodic solutions. Combining with τ-decomposition strategy and central manifold theory, the issues of delay stable interval and stability of Hopf bifurcation are all tackled. Finally, numerical examples are illustrated to show the accuracy and effectiveness of the proposed method. Full article
(This article belongs to the Special Issue Advances in Adaptive Control and Intelligent Control of Complex Nonlinear Systems)
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16 pages, 859 KiB  
Article
On Stability Switches and Bifurcation of the Modified Autonomous Van der Pol–Duffing Equations via Delayed State Feedback Control
by Tiao-Yang Cai, Hui-Long Jin, Hong Yu and Xiang-Peng Xie
Symmetry 2021, 13(12), 2336; https://doi.org/10.3390/sym13122336 - 6 Dec 2021
Cited by 4 | Viewed by 1632
Abstract
This paper considers the Modified Autonomous Van der Pol–Duffing equation subjected to dynamic state feedback, which can well characterize the dynamic behaviors of the nonlinear dynamical systems. Both the issues of local stability switches and the Hopf bifurcation versus time delay are investigated. [...] Read more.
This paper considers the Modified Autonomous Van der Pol–Duffing equation subjected to dynamic state feedback, which can well characterize the dynamic behaviors of the nonlinear dynamical systems. Both the issues of local stability switches and the Hopf bifurcation versus time delay are investigated. Associating with the τ decomposition strategy and the center manifold theory, the delay stable intervals and the direction and stability of the Hopf bifurcation are all determined. Specifically, the computation of purely imaginary roots (symmetry to the real axis), the positive real root formula for cubic equation and the sophisticated bilinear form of adjoint operators are proposed, which make the calculations mentioned in our discussion unified and simple. Finally, the typical numerical examples are shown to illustrate the correctness and effectiveness of the practical technique. Full article
(This article belongs to the Special Issue Advances in Adaptive Control and Intelligent Control of Complex Nonlinear Systems)
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14 pages, 902 KiB  
Article
Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
by Xue Yang, Yongmei Su, Huijia Li and Xinjian Zhuo
Symmetry 2021, 13(11), 2121; https://doi.org/10.3390/sym13112121 - 8 Nov 2021
Cited by 6 | Viewed by 1526
Abstract
In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, there exists some symmetry in [...] Read more.
In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, there exists some symmetry in the relationship between the two equilibria and the basic reproduction numbers. We obtain the global stability of the infection-free equilibrium by using Lyapunov function and the local stability of the immune-exhausted equilibrium. The optimal control problem is also considered and two control strategies are given; one is for ITX5061 monotherapy, the other is for ITX5061 and DAAs combination therapy. Matlab numerical simulation shows that combination therapy has lower objective function value; therefore, it is worth trying to use combination therapy to treat HCV infection. Full article
(This article belongs to the Special Issue Advances in Adaptive Control and Intelligent Control of Complex Nonlinear Systems)
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