Introduction to Linear Dynamical Systems
by Stephen Boyd
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Description
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.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
| 1 | Video1. Linear Dynamical Systems Lecture 1 | science, electrical, engineering, technology, linear, dynamical, system, circuits, algebra, signal, processing, inputs, outputs, research | 7/9/08 | Free | View In iTunes |
| 2 | Video2. Linear Dynamical Systems Lecture 2 | science, electrical, engineering, technology, linear, dynamical, system, vector, matrix, Fourier, transform, gain, factor, signal, circuit, function, research | 7/9/08 | Free | View In iTunes |
| 3 | Video3. Linear Dynamical Systems Lecture 3 | science, electrical, engineering, technology, linear, dynamical, system, algebra, control, design, gram, matrix, vector, space, differentiation, research | 7/9/08 | Free | View In iTunes |
| 4 | Video4. Linear Dynamical Systems Lecture 4 | science, electrical, engineering, technology, linear, dynamical, system, orthonormal, vector, matrix, dual, basis, Cauchy-Schwartz, inequality, research | 7/9/08 | Free | View In iTunes |
| 5 | Video5. Linear Dynamical Systems Lecture 5 | science, electrical, engineering, technology, linear, dynamical, system, QR, factorization, decomposition, Gram-Schmidt, orthogonal, nullspace, equation, research | 7/9/08 | Free | View In iTunes |
| 6 | Video6. Linear Dynamical Systems Lecture 6 | science, electrical, engineering, technology, linear, dynamical, system, least, squares, application, Moore-Penrose, QR, factorization, BLUE, Vandermonde, matrix | 7/9/08 | Free | View In iTunes |
| 7 | Video7. Linear Dynamical Systems Lecture 7 | science, electrical, engineering, technology, linear, dynamical, system, Gauss, Newton, method, least, squares, recursive, rank, one, update, formula | 7/9/08 | Free | View In iTunes |
| 8 | Video8. Linear Dynamical Systems Lecture 8 | science, electrical, engineering, technology, linear, dynamical, system, Gauss, Newton, vector, least, square, estimation, NLLS, equation, solution | 7/9/08 | Free | View In iTunes |
| 9 | Video9. Linear Dynamical Systems Lecture 9 | science, electrical, engineering, technology, linear, dynamical, system, Lagrange, multipliers, autonomous, LDS, matrix, circuit, block, diagram, research | 7/9/08 | Free | View In iTunes |
| 10 | Video11. Linear Dynamical Systems Lecture 11 | science, electrical, engineering, technology, linear, dynamical, system, LaPlace, transform, matrix, exponential, convergence, polynomial, continous, invariant, time | 7/9/08 | Free | View In iTunes |
| 11 | Video10. Linear Dynamical Systems Lecture 10 | science, electrical, engineering, technology, linear, dynamical, system, LDS, Markov, chain, forward, Euler, damping, equilibrium, variational, research | 7/9/08 | Free | View In iTunes |
| 12 | Video12. Linear Dynamical Systems Lecture 12 | science, electrical, engineering, technology, linear, dynamical, system, piecewise, eigenvalue, vector, scaling, growth, rate, Markov, stochastic, research | 7/9/08 | Free | View In iTunes |
| 13 | Video13. Linear Dynamical Systems Lecture 13 | science, electrical, engineering, technology, linear, dynamical, system, LDS, Markov, eigenvalue, matrix, Modal, form, resolvent, analytic, function JCF, research | 7/9/08 | Free | View In iTunes |
| 14 | Video14. Linear Dynamical Systems Lecture 14 | science, electrical, engineering, technology, linear, dynamical, system, LDS, eigenvector, Cayley-Hamilton, theorem, step, matrix, circuit, resistor, capacitor | 7/9/08 | Free | View In iTunes |
| 15 | Video15. Linear Dynamical Systems Lecture 15 | science, electrical, engineering, technology, linear, dynamical, system, LDS, eigenvector, dual, system, diagonal, form, Z-transform, orthogonal, RC circuit, research | 7/9/08 | Free | View In iTunes |
| 16 | Video16. Linear Dynamical Systems Lecture 16 | science, electrical, engineering, technology, linear, dynamical, system, LDS, quadratic, form, semidefinite, matrix, ellipsoid, amplification, inequality, research | 7/9/08 | Free | View In iTunes |
| 17 | Video17. Linear Dynamical Systems Lecture 17 | science, electrical, engineering, technology, linear, dynamical, system, LDS, single, value, decomposition, SVD, eigenvector, Moore-Penrose, inverse, ellipsoid, least, squares, research | 7/9/08 | Free | View In iTunes |
| 18 | Video18. Linear Dynamical Systems Lecture 18 | science, electrical, engineering, technology, linear, dynamical, system, single, value, decomposition, equation, low, rank, approximation, singularity, matrix, norm, state, transfer, reachability | 7/9/08 | Free | View In iTunes |
| 19 | Video19. Linear Dynamical Systems Lecture 19 | science, electrical, engineering, technology, linear, dynamical, system, LDS, reachability, least-norm, input, ellipsoid, continuous, time, impulsive, damper, research | 7/9/08 | Free | View In iTunes |
| 20 | Video20. Linear Dynamical Systems Lecture 20 | science, electrical, engineering, technology, linear, dynamical, system, single, value, decomposition, SVD, estimation, noise, least, squares, duality, subspace, research | 7/9/08 | Free | View In iTunes |
| Total: 20 Episodes |
