Computational Approaches to Control Systems: Methods and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 31 August 2026 | Viewed by 649

Editors


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Guest Editor
School of Automation, Beijing Institute of Technology, Beijing, China
Interests: control and optimization of large-scale network systems; data-driven estimation and control

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Guest Editor Assistant
School of Information and Control and Engineering, China University of Mining and Technology, Beijing, China
Interests: security of network control systems; data-driven and learning-based control

Special Issue Information

Dear Colleagues,

The field of control systems engineering is undergoing a profound transformation, driven by the escalating complexity of modern technological applications and the continuous evolution of computational capabilities. From autonomous vehicles and smart grids to robotic networks and industrial cyber–physical systems, the demand for sophisticated analysis, design, and optimization tools has never been greater. Traditional control methodologies are increasingly challenged by the scale, heterogeneity, and real-time requirements of these systems.

This Special Issue aims to highlight the pivotal role of advanced computation methods as the cornerstone for next-generation control systems. The scientific community has witnessed significant advancements in leveraging techniques from computer science, applied mathematics, and artificial intelligence to address fundamental challenges in control, including managing system complexity, handling large-scale distributed architectures, and learning from data to cope with uncertainty. This Issue aims to showcase how modern computational techniques are not merely supportive tools but are reshaping the very foundations of control theory and practice, enabling solutions to previously intractable problems and fostering new paradigms for intelligent and resilient system design.

This Special Issue, titled "Computational Approaches to Control Systems: Methods and Applications," aims to collate high-quality research and review articles that present cutting-edge developments in computational algorithms and frameworks for the analysis, design, and implementation of control systems, focusing on the intersection of computational science and engineering applications, particularly in developing innovative algorithms for complex system modeling, simulation, and optimization. By focusing on both theoretical underpinnings and practical applications, this collection seeks to bridge the gap between computational science and control engineering. The Issue will provide a platform for discussing novel computational strategies that enhance our ability to tackle complex control problems, thereby contributing to the development of more efficient, adaptive, and intelligent systems.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  • Modern computation techniques for control systems, including complexity analysis and combinatorial optimization algorithms;
  • Structured system approaches utilizing graph-theoretic techniques for large-scale system control and analysis;
  • Distributed optimization algorithms and their applications in networked control systems;
  • Advanced model predictive control (MPC) schemes with computational efficiency guarantees;
  • Data-driven and learning-based control methods, including neural-network and AI/ML-based control;
  • Security of network control systems, including model-based and learning-based control;
  • Reinforcement learning for control and optimization in dynamic environments;
  • Computational frameworks for stability analysis, robustness verification, and performance certification of complex systems;
  • High-performance computing and parallel algorithms for real-time control applications;
  • Integration of symbolic and numerical computation in control system design and verification.

We look forward to receiving your valuable contributions to this exciting and timely Special Issue.

Dr. Yuan Zhang
Guest Editor

Dr. Qirui Zhang
Guest Editor Assistant

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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • computational methods
  • control systems
  • optimization algorithms
  • data-driven control
  • machine learning (ML)
  • model predictive control (MPC)
  • distributed optimization
  • graph theory
  • reinforcement learning
  • system complexity

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Published Papers (1 paper)

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Research

25 pages, 1072 KB  
Article
RBFNN-Based Secure Tracking Control for a Class of Strict-Feedback Nonlinear Systems with Asymmetric Output Constraints and Its Application to UAVs
by Lijun Zhang, Meiru Jiang, Jiahao Li, Na Liu, Jiyong Lu and Kai Cui
Mathematics 2026, 14(10), 1753; https://doi.org/10.3390/math14101753 - 20 May 2026
Viewed by 344
Abstract
This paper investigates a tracking control problem for a class of strict-feedback nonlinear systems with time delays, asymmetric output constraints, and deception attacks on the controller. First, by introducing a new error conversion technology, any nonzero and bounded initial state is converted to [...] Read more.
This paper investigates a tracking control problem for a class of strict-feedback nonlinear systems with time delays, asymmetric output constraints, and deception attacks on the controller. First, by introducing a new error conversion technology, any nonzero and bounded initial state is converted to zero, which not only solves the overshoot/oscillation problem of the output during the constraint switching phase but also unifies the control design of constrained and unconstrained systems. Second, a barrier function with asymmetric output constraints is designed, which converts the problem of satisfying the tracking control of nonlinear systems under output constraints into one of ensuring the boundedness. In addition, radial basis function neural networks (RBFNNs) are utilized to handle both unknown uncertain terms and deception attacks simultaneously. By utilizing the new asymmetric delayed barrier function error together with an RBFNN technique, the tracking error is ultimately uniformly bounded, regardless of the presence or absence of output constraints. Finally, the superiority of the proposed strategy is verified through its simulation on an unmanned aerial vehicle (UAV) system. Full article
(This article belongs to the Special Issue Computational Approaches to Control Systems: Methods and Applications)
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