Problem 2: Given the state equations ż (t) = [ 0 2 ;] a(t) +[i]u(t), y(t)=[1_0]z(t). -2 -5 * P (3) If the input u(t) is a unit step function with ₁ (0) = x₂(0) = 0, find y(t) for t≥ 0; A (5) Verify the solution of r₁(t) in (3) using a transfer function approach.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Problem 2:
Given the state equations
i(t)
= [₁
5 ] x(t) + [i] u(t)
-[i]u(t), _y(t)=[1_0]x(t).
0 2
-2 -5
.. pre
(3) If the input u(t) is a unit step function with ₁ (0) = x₂(0) = 0, find y(t) for t > 0;
(5) Verify the solution of x₁(t) in (3) using a transfer function approach.
Transcribed Image Text:Problem 2: Given the state equations i(t) = [₁ 5 ] x(t) + [i] u(t) -[i]u(t), _y(t)=[1_0]x(t). 0 2 -2 -5 .. pre (3) If the input u(t) is a unit step function with ₁ (0) = x₂(0) = 0, find y(t) for t > 0; (5) Verify the solution of x₁(t) in (3) using a transfer function approach.
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