Q1. Consider the following system: * = Ax + Bu y = Cx [o 0 -2] A = |1 0 B = C = [0 0 1]. 1 lo 1 2 a) Check the controllability using two of the methods covered in class. b) If controllable, convert it to the controllable canonical form. c) Is the system BIBO stable? Submit all your answers in a single pdf file.

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a) Check the controllability using two of the methods covered in class.
b) If controllable, convert it to the controllable canonical form.
c) Is the system BIBO stable?

Q1. Consider the following system:
* = Ax + Bu
y = Cx
[o 0 -21
A = 1 0
Lo 1
1
B = |1
C = [0 0 1].
2
a) Check the controllability using two of the methods covered in class.
b) If controllable, convert it to the controllable canonical form.
c) Is the system BIBO stable?
Submit all your answers in a single pdf file.
Transcribed Image Text:Q1. Consider the following system: * = Ax + Bu y = Cx [o 0 -21 A = 1 0 Lo 1 1 B = |1 C = [0 0 1]. 2 a) Check the controllability using two of the methods covered in class. b) If controllable, convert it to the controllable canonical form. c) Is the system BIBO stable? Submit all your answers in a single pdf file.
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