Track chair: 

Hani Attar, Zarqa University, Jordan

Scope of the Special Track:

"Mathematical Modeling for Electrical and Electronic Engineering: Theory, Methods, and Applications"

This Special Track focuses on rigorous mathematical approaches for modeling, analysis, and optimization in electrical and electronic engineering. We invite contributions that emphasize advanced mathematical theory, novel computational techniques, and their applications to solve complex engineering problems. The goal is to bridge cutting-edge mathematical methods with real-world engineering challenges, fostering innovation through analytical and numerical advancements.

Key Mathematical Themes and Applications:

1. Applied Mathematics in Electrical Systems

•     • Nonlinear Dynamics & Chaos Theory: Stability analysis, bifurcation, and transient behavior in power grids and electronic circuits.
•     • Partial Differential Equations (PDEs): Modeling electromagnetic fields, heat transfer in devices, and wave propagation.
•     • Stochastic Processes & Random Matrix Theory: Uncertainty quantification in renewable energy systems and communication networks.

2. Optimization & Control Theory

•     • Convex & Non-Convex Optimization: Optimal power flow, distributed energy resource management.
•     • Hamiltonian & Lagrangian Formulations: Energy-based control of electromechanical systems.
•     • Model Predictive Control (MPC) & Robust Control: Mathematical formulations for real-time embedded systems.

3. Computational & Numerical Methods

•     • Finite Element Analysis (FEA) & Spectral Methods: High-precision simulation of semiconductor devices and antennas.
•     • Tensor Decompositions & Reduced-Order Modeling: Efficient computation for large-scale power systems.
•     • Monte Carlo & Stochastic Galerkin Methods: Reliability analysis in electronic circuits under variability.

4. Graph Theory & Network Science

•     • Topological Analysis of Power Grids: Vulnerability assessment using algebraic graph theory.
•     • Consensus Algorithms & Distributed Control: Multi-agent systems in smart grids.

5. Machine Learning & Statistical Learning Theory

•     • Kernel Methods & Functional Analysis: Regression and classification in sensor networks.
•     • Physics-Informed Neural Networks (PINNs): Hybrid models for electronic device characterization.

6. Information Theory & Signal Processing

•     • Compressive Sensing & Sparse Recovery: Low-dimensional signal models for IoT and 5G.
•     • Information Geometry: Statistical manifolds in adaptive filtering.
•  
• Submission Guidelines:

We welcome original research with strong mathematical foundations, including (but not limited to):

•     • Theoretical contributions (e.g., new theorems, bounds, or computational complexity analyses).
•     • Novel numerical algorithms with convergence proofs and error analysis.
•     • High-fidelity modeling case studies with mathematical insights.

This Special Track aims to highlight the synergy between advanced mathematics and engineering innovation, emphasizing rigor, scalability, and reproducibility.