Machine Learning for Dynamics and Control Advancement in Engineering 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 May 2026 | Viewed by 553

Special Issue Editor


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Guest Editor
National Key Laboratory of Automotive Chassis Integration and Bionics, Jilin University, Changchun, China
Interests: nonlinear system dynamics and control; vehicle system dynamics; model-based reinforcement learning control; physically informed learning control

Special Issue Information

Dear Colleagues,

The integration of machine learning (ML) with system dynamics and control has revolutionized engineering applications, enabling data-driven modeling, adaptive control, and real-time optimization in complex, nonlinear environments. This Special Issue seeks to highlight cutting-edge research at the intersection of ML, dynamics, and control, with a focus on theoretical advances, algorithmic innovations, and practical implementations in engineering domains.

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

  • ML-based modeling of dynamical systems (e.g., neural ODEs, Koopman operators, Gaussian processes).
  • Reinforcement learning and adaptive control for robotics, aerospace, or autonomous systems.
  • Physics-informed ML for hybrid modeling of the nonlinear engineering systems.
  • Data-driven stability analysis and robust control under uncertainty.
  • Deep reinforcement learning for predictive control.
  • Transfer learning and meta-learning for dynamics adaptation.
  • Explainable AI in dynamics and control systems for safety-critical applications.
  • Edge AI and real-time ML for embedded control systems.

Prof. Dr. Ye Zhuang
Guest Editor

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Keywords

  • machine learning
  • control theory
  • dynamical systems optimization
  • nonlinear dynamics
  • reinforcement learning
  • adaptive control
  • optimal control
  • physics-informed machine learning
  • intelligent control

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Published Papers (1 paper)

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Research

34 pages, 8592 KB  
Article
Neural Network Modeling of Air Spring Dynamic Stiffness Based on Its Pneumatic Physics
by Yuelian Wang, Tao Bo, Wenzheng Hu, Jiaqi Zhao, Fa Su, Zuguo Ma and Ye Zhuang
Mathematics 2026, 14(6), 1057; https://doi.org/10.3390/math14061057 - 20 Mar 2026
Viewed by 310
Abstract
To meet the real-time computational requirements of active suspension control systems, this study shifts from complex microscopic physical equations to a direct nonlinear functional mapping between the relative motion states (displacement and velocity) and the output force of air springs. This approach aims [...] Read more.
To meet the real-time computational requirements of active suspension control systems, this study shifts from complex microscopic physical equations to a direct nonlinear functional mapping between the relative motion states (displacement and velocity) and the output force of air springs. This approach aims to preserve critical nonlinear hysteresis characteristics while significantly reducing the computational overhead. A progressive modeling strategy is implemented to characterize these complex behaviors. Initially, polynomial fitting is employed to identify key input features; however, its limited capacity to capture intricate nonlinearities necessitates more advanced methods. Subsequently, standard Feedforward Neural Networks (FNNs) are explored for their nonlinear mapping capabilities, yet their inherent “black-box” nature often leads to convergence difficulties and restricted generalization. To address these issues, a Physics-Informed Neural Network (PINN) architecture is introduced, embedding physical governing equations as regularization constraints within the loss function to integrate data-driven flexibility with mathematical rigor. Recognizing that conventional PINNs often encounter convergence challenges due to conflicts between PDE constraints and data-driven loss terms, this research develops a Physics-Embedded Hierarchical Network (PEHN). By deriving specialized PDE constraints tailored to air spring dynamics and designing a hierarchical architecture aligned with these physical requirements, the PEHN effectively balances physical priors with experimental data. Experimental results demonstrate that, compared to the baseline models, the proposed PEHN exhibits stronger stability and superior accuracy in capturing the complex nonlinearities of air spring dynamics. Full article
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