Exact and Approximate Sampling in Multivariable Control

This lecture covers the concepts of exact and approximate sampling in multivariable control systems. The instructor explains the process of exact discretization and its implications on stability and controllability. The lecture also delves into the eigenvalues under exact sampling, the interpretation in the complex plane, and the effect of discretization on reachability and observability. Various numerical integration schemes for approximate discretization methods are discussed, along with their impact on system properties. The lecture concludes by highlighting the trade-offs between exact and approximate sampling methods in preserving system structure and information.