Introduction to Linear Dynamical Systems Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on how to find solutions via LaPlace transform and the use of matrix exponentials for the course, Introduction to Linear Dynamical Systems (EE263). 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. Complete Playlist for the Course: http://www.youtube.com/view_play_list?p=06960BA52D0DB32B EE 263 Course Website: http://www.stanford.edu/class/ee263/ Stanford University: http://www.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford/

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Channels: Physics (General)

Tags: science electrical engineering technology linear dynamical system LaPlace transform matrix exponential convergence polynomial continous invariant time

Uploaded by: stanfordlinear ( Send Message ) on 29-08-2012.

Duration: 68m 55s

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