Authors : Taylan Demir
DOI : 10.13140/RG.2.2.19700.67204
Volume : 1
Issue : 1
Year : 2025
Page No : 1-2
This presentation delves into the integration of topological methods within control theory, emphasizing their crucial role in enhancing the stability and robustness of control systems. It begins by introducing the foundational principles that connect topology to control theory. The focus then shifts to examining Proportional-Integral-Derivative (PID) controllers through a topological lens, showcasing how these methods can improve stability assessments. Additionally, the talk explores the application of topological tools in dynamic system control, addressing key topics such as stability, chaos, and bifurcation analysis. A practical example involving robotic motion planning illustrates the effectiveness of topological models in navigating complex, obstacle-laden environments. The session concludes with a review of recent advancements in this interdisciplinary field, highlighting unresolved challenges and suggesting promising directions for future research.