Mathematical Models for Fault Detection and Diagnosis

Dear Colleagues,

In numerous engineering and technological systems, the capability to detect and diagnose faults is of paramount importance for ensuring reliability, safety, and optimal performance. Mathematical modeling plays a pivotal role in this context, as it provides a rigorous framework for analyzing and understanding the underlying mechanisms of fault occurrence and propagation. This Special Issue focuses on the development and application of mathematical models for fault detection and diagnosis, with an emphasis on innovative approaches and computational methods.

The field of fault detection and diagnosis encompasses a wide range of application areas, including but not limited to mechanical systems, electrical networks, chemical processes, aerospace engineering, and cyber-physical systems. In each of these domains, specific mathematical models are required to capture the complex dynamics and interactions that lead to faults. These models may involve linear and nonlinear systems of equations, stochastic processes, hybrid systems, and machine learning techniques.

The theoretical and computational analysis of these mathematical models is a critical step in the design of effective fault detection and diagnosis algorithms. By leveraging the unique properties of the underlying models, researchers can devise efficient strategies for monitoring system behavior, identifying deviations from normal operation, and pinpointing the root causes of faults. This Special Issue aims to collect papers that showcase the latest advancements in this field, with a particular focus on the algebraic, analytic, and statistical aspects of fault detection and diagnosis models.

Contributions are encouraged from researchers working on the development of novel mathematical models, the analysis of their theoretical properties, and the design of efficient computational methods for fault detection and diagnosis. Papers that demonstrate the practical applicability of these models in real-world systems and that provide insights into the challenges and opportunities in this research area are particularly welcome. This Special Issue seeks to foster interdisciplinary collaboration and to advance the state of the art in mathematical modeling for fault detection and diagnosis.

Dr. Jinsong Yang
Guest Editor

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• mathematical models
• fault detection
• diagnosis
• computational methods
• system reliability
• failure analysis
• structural health monitoring
• damage detection