Stanford Engineering Everywhere EE263 - Introduction to Linear Dynamical Systems
released under terms of: CC-BY
Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems.
- 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.
- 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.
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