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 12
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Lecture 12 - Eigenvectors and diagonalization
Time Transfer Property, Piecewise Constant System, Qualitative Behavior Of X(T), Stability, Eigenvectors And Diagonalization, Scaling Interpretation, Dynamic Interpretation, Invariant Sets, Summary, Markov Chain (Example)
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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