If x = Ax + Bu, which of the following systems are completely con- trollable (i) with u € U, (ii) with u € U₂? (a) A = -[] [] (b) A B = = -61-J [ [] B = P ---1-0 (c) A =0 p 1, B n = r S

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If x= Ax + Bu, which of the following systems are completely con-
trollable (i) with ue , (ii) with ue U₂?
(a) A =
(b) A=
=
P
--6-0
0p 1 B
0 0 Р.
where p, q, r, s are real numbers.
(c) A:
0
1]
[1] B - [
[[ ]]
B -
=
=
9
S
Transcribed Image Text:If x= Ax + Bu, which of the following systems are completely con- trollable (i) with ue , (ii) with ue U₂? (a) A = (b) A= = P --6-0 0p 1 B 0 0 Р. where p, q, r, s are real numbers. (c) A: 0 1] [1] B - [ [[ ]] B - = = 9 S
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