e: Determine if the following system is BIBO stable: -2 3 0 0 -5 0 0 (t) = z(t) + u(t) 6 1 0 2 4. 3 y(t) = [1 -1 0 0] #(t).
e: Determine if the following system is BIBO stable: -2 3 0 0 -5 0 0 (t) = z(t) + u(t) 6 1 0 2 4. 3 y(t) = [1 -1 0 0] #(t).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 23EQ
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![Just solve c) and d) please
Problem 3: Stability
a: Is the origin of the following system an asymptotically stable equilibrium?
(1) = -1(1).
Explain your answer.
b: Check if the following system is BIB0 stable.
u(t)
y(t) = [1 0) z(t)
%3!
e: Determine if the following system is BIBO stable:
-2 3 0 0
-5 0 0
(t) =
a(t) +
u(t)
6 1
0 2
4
3.
y(t) = [1 -1
o 0] r(t).
%3!
d: Consider a system of the form
(t) = Ar(t) +g.
where the eigenvalues of A have negative real parts and g is a constant non-zero vector.
Find lime- 2(t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55e12d5b-0627-4c33-ab16-a790453115e9%2Fa255e68b-61bd-4ee2-9183-a732d8723514%2F5nb3tri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Just solve c) and d) please
Problem 3: Stability
a: Is the origin of the following system an asymptotically stable equilibrium?
(1) = -1(1).
Explain your answer.
b: Check if the following system is BIB0 stable.
u(t)
y(t) = [1 0) z(t)
%3!
e: Determine if the following system is BIBO stable:
-2 3 0 0
-5 0 0
(t) =
a(t) +
u(t)
6 1
0 2
4
3.
y(t) = [1 -1
o 0] r(t).
%3!
d: Consider a system of the form
(t) = Ar(t) +g.
where the eigenvalues of A have negative real parts and g is a constant non-zero vector.
Find lime- 2(t).
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