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hw 17 - 6 2s 5 s 4 10s 3 s 2 s 5(e s 5 2s 4 2s 3 4s 2 11s...

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Assignment #17 Due Fri 12/02/05 1 (25). Use the Routh-Hurwitz array to determine the stability of the following polynomials (state “stable” or “unstable” for each one). Determine the number of roots, if any, in the right half- plane. Note that (e) requires the special case of the Routh-Hurwitz array where a 0 in the first column is replaced by a small number ε . (a) s 3 + 4s 2 + 6s + 6 (b) s 4 + s 3 + 2s 2 + 5s + 8 (c) s 5 + s 4 + 2s 3 + s + 5 (d) s
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Unformatted text preview: 6 + 2s 5 + s 4 + 10s 3 + s 2 + s + 5 (e) s 5 + 2s 4 + 2s 3 + 4s 2 + 11s + 10 2 (15). Determine the range of non-negative K for the following polynomials that results in a stable system. If the maximum stable value of K is finite, find the points at which the locus crosses the j ϖ-axis. (a) s 4 + s 3 + 3s 2 + 2s + K (b) s 5 + s 4 + 2s 3 + s 2 + s + K (c) s 3 + (5 + K)s 2 + 7s + 18 + 9K 3 (18). Text 11.49 4 (21). Text 11.56 5 (21). Text 11.57...
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