Gabriel Hugh Elkaim Fall 2006 A Primer on Matrices

Cmpe 240: Introduction to Linear Dynamical Systems a Primer on Matrices

We won’t cover: • linear algebra, i.e., the underlying mathematics of matrices • numerical linear algebra, i.e., the algorithms used to manipulate matrices and solve linear equations • software for forming and manipulating matrices, e.g., Matlab, Mathematica, or Octave • how to represent and manipulate matrices, or solve linear equations, in computer languages such as C/C++ or Java • applicatio...

4 Eigenvalues & eigenstates

Aerial Photography using a Nokia N95

A low cost UAV for aerial photography is constructed and tested. The UAV transfers images as they are captured via 802.11g to a ground station. Photo-mosaics are immediately assembled using SIFT keypoints for automatic image registration.

The Atlantis Project: A GPS-Guided Wing-Sailed Autonomous Catamaran

An autonomous catamaran, based on a modified Prindle-19 day-sailing Catamaran, was built to test the viability of GPS-based system identification for precision control. The catamaran was fitted with several sensors and actuators to characterize the dynamics. Using an electric trolling motor, and lead ballast to match all-up weight, several system identification passes were performed to excite s...

An Autonomous Wing-Sailed Catamaran

The following information has been extracted from the thesis submitted by Dr. Gabriel Elkaim to Stanford University, and for which he was awarded his Ph.D. The full thesis, which can be viewed at http://www.soe.ucsc.edu/~elkaim/Documents/GabrielElkaimThesis01.pdf (and an extract published in the AYRS’s Journal ‘Catalyst’ which can be found at http://www.soe.ucsc.edu/~elkaim/Documents/Catalyst_B...