MAE 143A UCSD

MAE 143A Signals and Systems Designation: Required course Catalog Data: MAE 143A Signals and Systems (4) First-order vector ordinary differential equations, concepts of state, input and output. Linearity and linearization concepts introduced and solu

Signals and Systems - MAE 143A Final Exam - Winter Quarter 2007 Student name and number For all the questions you need to show ALL your work to get to the answer. 1. (4 points) For the time function t f (t) = 0 e3 (t )e2(t ) d, t 0. (i) (2 poi

Signals and Systems - MAE 143A Midterm Exam - Winter Quarter 2007 Student name and number For all the questions you need to show ALL your work to get to the answer. 1. (4.5 points) Consider the set of dierential equations: x = x + 2z + u z = z + 3x

Problem 1. (15 points) Consider the system x1 = x1 (x1 + x2 ) 2 x2 = x3 + 4 + x2 x2 x1 x2 1 + u x3 x3 = x2 + 1 2 Denote the state vector as X = [x1 , x2 , x3 ]T . For u = 0, nd all the equilibria of the system. Then nd the linearization at all

Signals and Systems - MAE 143A Practice Final Exam- Winter Quarter 2007 Student name and number For all the questions you need to show ALL your work to get to the answer. 1. (4 points) For the time function t f (t) = 0 sin(2(t ) d, t0 (ii) (2

Signals and Systems - MAE 143A Final Exam - Winter Quarter 2008 Student name and number For all the questions you need to show ALL your work to get to the answer. 1. (7 points) Consider the system x1 = x2 + u cos x2 3 x 2 = x 1 x 1 + x 2 4 where

Signals and Systems - MAE 143A Midterm Exam - Winter Quarter 2008 Student name and number For all the questions you need to show ALL your work to get to the answer. 1. (10 points) The circuit in Figure 1 (left graph) represents a practical passive l

Problem 1. (15 points) Consider the following system + 2 2 = + 2u , 1+ = u+. (This system does not arise from any physical application but its structure and its nonlinear terms mimic phenomena that appear in mechanical, electrical and bio-che