Eigenvalue Assignment in Multivariable Control

This lecture covers the Eigenvalue Assignment problem in multivariable control, focusing on discrete-time models, forward Euler, backward Euler, and the Tustin method. It discusses the effects of discretization on reachability and observability, emphasizing the importance of exact sampling. The lecture also explores the stabilization of the origin, state-feedback controllers for LTI systems, and the canonical controllability form. Conclusions highlight the loss of information due to time-discretization and the challenges in preserving system structure, especially in nonlinear systems.