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hw1 - ECEN 420 Linear Control Systems Homework#1 Due Date...

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Unformatted text preview: ECEN 420: Linear Control Systems Homework #1 Due Date: Feb 4th, 2010 From Feedback Control of Dynamic Systems 3.2 Find the Laplace transform of the following time functions: (a) f(t)= 1+2t (b) f(t)= 3+7t+t2+ δ (t) (c) f(t)= e‐t+ 2e‐2t+te‐3t (d) f(t)= (t+1)2 (e) f(t)= sinht 3.7 Find the time function corresponding to each of the following Laplace transforms using partial‐ fraction expansions: (a) F(s) = (b) F(s) = (c) F(s) = (d) F(s) = (j) F(s) = *1 3.9 Solve the following ordinary differential equations using Laplace transforms: 3 2 ; ; 0 0 1, 0; 0 1, 0 0 1, 0 2 1 2 (a) (e) (f) ...
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