Mathematical Methods Based on Control Theory
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 2025 | Viewed by 324
Special Issue Editors
2. Modeling, Control and Identification of Complex Systems Group (MCISCO), Institute for System Analysis and Computer Science (IASI), National Research Council of Italy (CNR), Via dei Taurini 19, 00185 Rome, Italy
Interests: estimation and control theory; distributed filtering and control; time-delay systems; systems biology
Interests: cardiovascular modeling; computational dynamics; tumor growth modeling
Special Issue Information
Dear Colleagues,
This Special Issue of Mathematics presents a comprehensive exploration of modern systems and control, uniting foundational theories, cutting-edge methodologies, and practical applications. The methodological contributions delve into advanced topics such as contraction theory, hybrid feedback control design, and the integration of optimization and game theory into control frameworks. Further emphasis is placed on the estimation and control of infinite-dimensional systems, as well as innovative approaches to filtering and controlling stochastic systems under uncertainty.
Emerging topics highlight the transformative role of interdisciplinary tools. Data-driven techniques, multi-agent system awareness, and machine learning—particularly physics-informed neural networks and large language models—are redefining traditional paradigms in linear and nonlinear control. These tools address challenges in large-scale networks and distributed systems, facilitating scalability and adaptability for real-world implementation.
The practical relevance of these advancements is reflected in applications addressing critical challenges, such as cyber–physical systems security, fault detection, and resilience. Contributions also focus on decision-making and modeling in diverse fields, including social and life sciences, systems biology, finance, and industrial markets. These studies demonstrate how control theory is enabling robust, efficient, and secure solutions in increasingly complex and interconnected environments.
By blending rigorous theoretical insights with impactful applications, this Special Issue showcases the evolving role of mathematics in advancing systems and control, paving the way for innovative solutions across a wide range of disciplines.
Dr. Massimiliano d'Angelo
Dr. Valerio Cusimano
Dr. Giovanni Palombo
Guest Editors
Manuscript Submission Information
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Keywords
- hybrid feedback control design
- stochastic systems
- contraction theory
- infinitedimensional systems
- data-driven methods
- optimization and game theory
- multi-agent systems
- sensor networks
- systems biology
- energy systems
- control for machine learning
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