We want to stabilize the system i = Ax(t)+Bu(t) using the state feedback u(t) = -µx1(t), where u is a real-valued parameter. Find the possible values of u for each of the following pairs, such that the closed-loop system is (a) asymptotically stable and (b) marginally stable. El 12 -5 6. (а) А — B = 0. -6 3. -3 (b) А B = (c) A В 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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D1.
We want to stabilize the system i = Ax(t)+Bu(t) using the state feedback u(t) = -µx1(t),
where u is a real-valued parameter. Find the possible values of u for each of the following
pairs, such that the closed-loop system is (a) asymptotically stable and (b) marginally
stable.
12
-5
6.
(а) А —
B =
0.
-6
-3
(b) А
B =
(c) A
В
2.
Transcribed Image Text:We want to stabilize the system i = Ax(t)+Bu(t) using the state feedback u(t) = -µx1(t), where u is a real-valued parameter. Find the possible values of u for each of the following pairs, such that the closed-loop system is (a) asymptotically stable and (b) marginally stable. 12 -5 6. (а) А — B = 0. -6 -3 (b) А B = (c) A В 2.
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