Multivariable Control: Eigenvalues and Modes

This lecture covers the analysis of free states in multivariable control systems, focusing on eigenvalues and modes. The instructor explains how each scalar entry of the matrix Ak is a linear combination of functions of time, called modes, associated with distinct eigenvalues of A. The lecture also delves into the characterization of modes, the behavior of modes based on eigenvalues, and the computation of modes in different scenarios.