## Stanford Engineering Everywhere EE263 - Introduction to Linear Dynamical Systems

author: Stephen P. Boyd,
Department of Electrical Engineering, Stanford University

released under terms of: Creative Commons Attribution Non-Commercial (CC-BY-NC)

released under terms of: Creative Commons Attribution Non-Commercial (CC-BY-NC)

Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems.

Topics include:

- Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations.
- Symmetric matrices, matrix norm and singular value decomposition.
- Eigenvalues, left and right eigenvectors, and dynamical interpretation.
- Matrix exponential, stability, and asymptotic behavior.
- Multi-input multi-output systems, impulse and step matrices; convolution and transfer matrix descriptions.
- Control, reachability, state transfer, and least-norm inputs.
- Observability and least-squares state estimation.

Prerequisites:

- Exposure to linear algebra and matrices (as in Math. 103).
- You should have seen the following topics: matrices and vectors, (introductory) linear algebra; differential equations, Laplace transform, transfer functions.
- Exposure to topics such as control systems, circuits, signals and systems, or dynamics is not required, but can increase your appreciation.

**Course Homepage:** http://see.stanford.edu/see/courseinfo.aspx?coll=17005383-19c6-49ed-9497-2ba8bfcfe5f6

**Course features at Stanford Engineering Everywhere page:**

Sami, June 17, 2014 at 8:16 p.m.:This is one of the best courses I have ever taken.

Thanks you professor Stephen Boyd for your generosity to make this course online for free.

wordle, February 6, 2024 at 5:33 a.m.:I love that! They are specifically what I need! I appreciate you sharing these amazing and fulfilling experiences with me and with all of you.