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Unformatted text preview: ). 3 ( x 2 (6 points) Solution : x 2 x 1 y u s 1 s 1 k 2 4 -1 Problem 3 Convert the following system with input u and output y u 3 1 1 y u 1 1 4 x x x into an equivalent description u d y u z T z z z z c b z A z ( z A is a diagonal matrix) using the transformation Vz x where the (1,1) and (2,2) elements of V are chosen to be unity. (a) Calculate T z z z , , , c b A V and d z . (8 points) (b) Let the input u be identically zero. Determine all points on the unit circle in the figure below such that if the system starts from these points, the system trajectory will converge to the origin. (5 points) Solution 2 x 1 x-1 -1 1 1...
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This note was uploaded on 04/11/2011 for the course EE 5307 taught by Professor Staff during the Spring '08 term at UT Arlington.
- Spring '08