Journal of Generalized Lie Theory and Applications

Department of Mathematics, University of Birmingham, Birmingham, UK

Publications

• Mini Review   
  Applications of Generalized Lie Theory in Control Theory and Dynamical Systems
  Author(s): Aristeidis Leite*
  
  Generalized Lie theory has emerged as a powerful tool in the study of control theory and dynamical systems, providing new methods for understanding the behavior of complex systems that go beyond the traditional framework of Lie groups and algebras. This expanded version of Lie theory, which extends the classical concepts to more general and often nonlinear settings, has profound implications for both the theoretical foundations and practical applications in these fields. Control theory is concerned with the behavior of dynamical systems over time and how to influence that behavior to achieve desired outcomes. At its core, it deals with systems that evolve according to certain rules, typically described by differential equations, and the control inputs that can modify this evolution. Traditional control theory often relies on linear models, where the relationshi.. Read More»
  DOI: 10.37421/1736-4337.2024.18.455

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