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 11
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Lecture 11 - Solution via Laplace transform and matrix exponential
Solution Via Laplace Transform And Matrix Exponential, Laplace Transform Solution Of X_^ = Ax, Harmonic Oscillator Example, Double Integrator Example, Characteristic Polynomial, Eigenvalues Of A And Poles Of Resolvent, Matrix Exponential, Time Transfer Property
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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