ECE 602 Lumped System Theory
Spring 2022 Lecture Notes
Linear Algebra
Inner Products and Norms (pdf)
(Updated October 21, 2007)
Companion Matrix Example (pdf)
(Updated October 7, 2008)
Some Notes on Generalized Eigenvectors (pdf)
(Updated September 30, 2009)
Evaluating Functions of Square Matrices Examples (pdf)
(Updated September 12, 2013)
Quantifying Matrix-Related Objects (pdf)
(Updated October 22, 2010)
Solutions of Initial Value Problems
Some Notes on Existence and Uniqueness of Solutions of Nonlinear ODEs (pdf)
(Updated October 22, 2010)
Controllability and Observability
Some Notes on Lecture 21: Controllability (pdf)
(Updated December 1, 2009)
Kalman Decomposition Examples (pdf)
(Updated November 16, 2011)
LTV Controllability / Observability Example (pdf)
(Updated November 16, 2011)
Realizations
Constructing MIMO and SISO Realizations (pdf)
(Updated April 30, 2019)
Balanced Model Reduction
Balanced model reduction matlab script (pdf)
(Updated November 14, 2013)
Extended Examples
Helicopter Example (pdf)
(Updated September 12, 2013)
Page last modified May 26, 22.