2. Determine the stability of the following polynomials and the range of K that results in a stable system 1) s2 + 5s + 2 = 0 2) s3 + 4s2 + 8s + 4 = 0 3) s3 + 2s2 - 6s + 20 = 0

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
8
Homework 2.
Determine the stability of the following
polynomials and the range of K that results in
a stable system
1) s? + 5s + 2 = 0
2) s3 + 4s2 + 8s + 4 = 0
3) s3 + 2s? - 6s + 20 = 0
4) S4 + s3 + 2s? + 12s + 10 = 0
5) S4 + s3 + 3s2 + 2s + K = 0
6) S5 + S4 + 2s3 + s + 6 = 0
7) S5 + S + 2s3 + s2 +s + K = 0
ANotes
即早
Transcribed Image Text:Homework 2. Determine the stability of the following polynomials and the range of K that results in a stable system 1) s? + 5s + 2 = 0 2) s3 + 4s2 + 8s + 4 = 0 3) s3 + 2s? - 6s + 20 = 0 4) S4 + s3 + 2s? + 12s + 10 = 0 5) S4 + s3 + 3s2 + 2s + K = 0 6) S5 + S4 + 2s3 + s + 6 = 0 7) S5 + S + 2s3 + s2 +s + K = 0 ANotes 即早
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