Applications of Algebra, Geometry, and Optimization to Control Theory

Dear Colleagues,

We invite researchers to contribute to a Special Issue titled "Applications of Algebra, Geometry, and Optimization to Control Theory", which aims to investigate the overlap between algebra, geometry, analysis and control theory, as well as their applications.

Control theory is a powerful tool that can be used to solve complex problems in many different areas, including engineering, robotics, economics, and biology, among others. Algebra, geometry, and optimization provide powerful mathematical tools for advancing control theory and addressing complex control problems.

This Special Issue provides a platform for researchers to present their innovative work that applies algebraic, geometric, and optimisation techniques to control theory, including but not limited to topics such as geometric control, which involves the use of differential geometry and geometric methods to analyse control systems, and algebraic control systems, which use algebraic techniques to study optimised control systems. We welcome both theoretical and applied contributions that demonstrate the practical significance and potential impact of these mathematical techniques in control systems design, analysis, and optimisation.

Possible topics of interest for this Special Issue include, but are not limited to:

• Algebraic approaches to system identification and parameter estimation in control systems.
• Geometric control theory and its applications in robotics and autonomous systems.
• Optimisation techniques for optimal control, model predictive control, and robust control.
• Algebraic and geometric methods for stability analysis and control synthesis.
• Algebraic and geometric aspects of nonlinear control systems.
• Optimisation-based control strategies for networked and distributed control systems.
• Control theory applications in aerospace, energy systems, and industrial processes.

We encourage researchers to submit their original research articles, reviews, or survey papers that highlight the integration of algebra, geometry, and optimization into control theory applications. The Special Issue aims to foster interdisciplinary collaboration and promote advancements in control theory through the synergy of these mathematical disciplines.

Submission Guidelines:

Manuscripts should be prepared according to the journal's guidelines and submitted through the online submission system. All submissions will undergo a rigorous peer-review process to ensure the quality and relevance of the published articles.

We look forward to receiving your contributions and showcasing the latest advancements in the application of algebra, geometry, and optimisation to control theory. Should you have any inquiries, please feel free to contact the Guest Editors or the editorial office.

Prof. Dr. William Holderbaum
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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-blind 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.

• geometric control
• algebraic control
• optimisation
• stability control theory
• control system