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Unformatted text preview: -pa 2 s 1 : p ( K-a 2 )-( Kz-pa 2 ) p = K ( p-z ) p s : Kz-pa 2 2 For stability: 1) All coefcients o the characteristic polynomial should be positive: p > K-a 2 > K > a 2 ( K > 0) Kz-pa 2 > 2) All elements o the rst column should be positive: K ( p-z ) p > , since K > p > z Kz-pa 2 > , since K > z > pa 2 K p > ,K /K > a 2 , pa 2 K K < z < p NOTE: For the book edition with the block K ( s + z ) ( s + p ) instead o ( s + z ) K ( s + p ) , replace K /K by K K in the conditions or stability. 3...
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This note was uploaded on 07/02/2011 for the course EE 141 taught by Professor Balakrishnan during the Spring '07 term at UCLA.
- Spring '07