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filled6 - ME 475 Handouts Spring 2011 Routh-Hurwitz Special...

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ME 475 Handouts – Spring 2011 1 Slide 1 ME 475 Session 6: Routh-Hurwitz Stability Galen King Purdue University Routh-Hurwitz Special Cases Case 1: Single zero in column 1 with at least one nonzero element in that row. Procedure: Replace zero with small positive number ε , complete the array, then take the limit as ε 0. Slide 2 ME 475 Session 6: Routh-Hurwitz Stability Galen King Purdue University Routh-Hurwitz Special Cases Case 1 Example: D(s) = s 4 + s 3 + s 2 + s + K

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ME 475 Handouts – Spring 2011 2 Slide 3 ME 475 Session 6: Routh-Hurwitz Stability Galen King Purdue University Routh-Hurwitz Special Cases Case 2: Entire row of zeroes. Procedure: Call the row above the row of zeroes the auxiliary polynomial P(s). Replace the row of zeroes with dP/ds. Finish the array.
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