Lectures (Video)
- 1. Overview
- 2. Linear Functions
- 3. Linear algebra review
- 4. Orthonormal sets of vectors and QR factorization
- 5. Least-squares
- 6. Least-squares applications
- 7. Regularized least-squares and Gauss-Newton method
- 8. Least-norm solutions of underdetermined equations
- 9. Autonomous linear dynamical systems
- 10. High Order Linear Dynamical Systems
- 11. Solution via Laplace transform and matrix exponential
- 12. Eigenvectors and diagonalization
- 13. Jordan canonical form
- 14. Linear dynamical systems with inputs and outputs
- 15. Eigenvalues Of Symmetric Matrices
- 16. Symmetric matrices, quadratic forms, matrix norm, and SVD
- 17. SVD applications
- 18. Example: Quantum mechanics
- 19. Controllability and state transfer
- 20. Observability and state estimation
Introduction to Linear Dynamical Systems - Lecture 18
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Lecture 18 - Example: Quantum mechanics
Sensitivity Of Linear Equations To Data Error, Low Rank Approximations, Distance To Singularity, Application: Model Simplification, Controllability And State Transfer, State Transfer, Reachability, Reachability For Discrete-Time LDS
Prof. Stephen P. Boyd
Introduction to Linear Dynamical Systems EE263 (Stanford University: Stanford Engineering Everywhere) http://see.stanford.edu Date accessed: 2009-09-25 License: Creative Commons Attribution 3.0 |
Lecture Material
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