Euler Lagrange

Euler-Lagrange equations describe the motion of dynamical systems by finding the path that minimizes an action functional, a cornerstone of classical mechanics. Current research focuses on extending their application to complex systems, particularly networked multi-agent systems and robotic control, employing techniques like Gaussian processes, adaptive control, and sliding mode observers to address challenges such as uncertainty, time-varying constraints, and disturbance estimation. These advancements are improving the control and understanding of diverse systems, from robotic manipulators to space systems, by enabling more robust and efficient control strategies and facilitating the discovery of inherent symmetries and conserved quantities.