Just solve c) and d) pleaseProblem 3: Stabilitya: 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 10 243.y(t) = [1 -1o 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).

(c) given system x·t=-23001-50024610302xt+230-1utyt=1-100xt claim- to check whether the systme is…

Answered: e: Determine if the following system is…

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).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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