EBK MINDTAP FOR HERMAN'S DELMAR'S STAND
7th Edition
ISBN: 9781337900614
Author: Herman
Publisher: VST
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Textbook Question
Chapter 3, Problem 5RQ
An electroscope has been charged with a negative charge. An object with an unknown charge is brought close to the electroscope. The leaves of the electroscope come closer together. Does the object have a positive or a negative charge?
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a) In terms of n and p, how many state variables and how many inputs can you see in the
system below?
dx1
=-7x1 + x2 + 5u1
dt
dx2
=-11x1+x3 + 2u1
dt
dx3
= -8x16u1
dt
b) Derive the state space representation for the above system
c) Determine whether the system is stable or not.
Question 2 (20 points)
a) In terms of n and p, how many state variables and how many inputs can you see in the
system below?
dx1
dt
=x1-
2x2
dx2
= 3x1 - 4x2
dt
b) Derive the state space representation for the above system
c) Determine whether the system is stable or not.
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Chapter 3 Solutions
EBK MINDTAP FOR HERMAN'S DELMAR'S STAND
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