3. Let (1 0 1 A = 10 -2 0 0-1 b = 0 f = f2 where f (a) Show that the matrix A is not asymptotically stable.
3. Let (1 0 1 A = 10 -2 0 0-1 b = 0 f = f2 where f (a) Show that the matrix A is not asymptotically stable.
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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Transcribed Image Text:3.
Let
(1 0 1
A = 10 -2
0 0 -1,
b = 0
f = | f2
f3)
where fi. f2. fa € R.
(a) Show that the matrix A is not asymptotically stable.
(b) Using the Hurwitz Stability Criterion, find the possible range of values for f1, f2 and
f3 such that the matrix A = A+ bf" is stable.
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