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P6.1 Utilizing the Routh-Hurwitz criterion, determine the stability of the following polynomials: (a) s? + 5s + 2 (b) s3 + 4s2 + 8s + 4 (c) s3 + 2s2 - 6s + 20 (d) s + s + 2s² + 12s + 10 (e) s' + s + 3s? + 2s + K (f) s + s* + 2s + s + 6 (g) s + s* + 2s + s2 + s + K Determine the number of roots, if any, in the right- hand plane. If it is adjustable, determine the range of K that results in a stable system.

P6.1 Utilizing the Routh-Hurwitz criterion, determine the stability of the following polynomials: (a) s? + 5s + 2 (b) s3 + 4s2 + 8s + 4 (c) s3 + 2s2 - 6s + 20 (d) s + s + 2s² + 12s + 10 (e) s' + s + 3s? + 2s + K (f) s + s* + 2s + s + 6 (g) s + s* + 2s + s2 + s + K Determine the number of roots, if any, in the right- hand plane. If it is adjustable, determine the range of K that results in a stable system.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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P6.1 Utilizing the Routh-Hurwitz criterion, determine the stability of the following polynomials: (a) s? + 5s + 2 (b) s3 + 4s2 + 8s + 4 (c) s3 + 2s2 - 6s + 20 (d) s + s + 2s² + 12s + 10 (e) s' + s + 3s? + 2s + K (f) s + s* + 2s + s + 6 (g) s + s* + 2s + s2 + s + K Determine the number of roots, if any, in the right- hand plane. If it is adjustable, determine the range of K that results in a stable system.
Transcribed Image Text:P6.1 Utilizing the Routh-Hurwitz criterion, determine the stability of the following polynomials: (a) s? + 5s + 2 (b) s3 + 4s2 + 8s + 4 (c) s3 + 2s2 - 6s + 20 (d) s + s + 2s² + 12s + 10 (e) s' + s + 3s? + 2s + K (f) s + s* + 2s + s + 6 (g) s + s* + 2s + s2 + s + K Determine the number of roots, if any, in the right- hand plane. If it is adjustable, determine the range of K that results in a stable system.
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