problems 3.44 and 3.45

problems 3.44 and 3.45 - 44. Ikfodify th* It.ou*h ffitedofi...

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44. Ikfodify th* It.ou*h ffitedofi ss thst it aXrplies to tfre casp wh+re sll the peles cre to be ts the ldt of, -a rrvben rt ) il- Apply the msdi$ed tmt to tlre polpramiel st + (6+ Kls? + {5 6'tr}s * 5ff : 0,, ffndiag those v*Iues. of -If 5or whish 431 pcler hsrre e real pnrt lem thau -1. $olutian: Let p - s*s ffld.subE6iuie s:F-a to obtainatrroll'namiel i-e.ter,ms$f p- Apply the etandsrd Raeth twt tc the pol;r"nomi*l in p- Foy the otarople p : ,s*I. sr $ : p- 1- Subotitute this in the polynorxial, {F 1}" + {s+ 1{} (p -t)r str} (p- i} * 6.K B sl- Fa K)st {4Fr a}p * I 0. ifhe Routh'e array is, pe : 1 LK-A, F,3 3+Jtr X .l {3+fi}(4ff-4)-1 P' ff v vt:1 IVe, mcust hsrue ff F -S eni 4Jf,E +8Jf 13 >. 0- The voots qf the second* orcter poly,rourial *re J{ 1-06 anctr "ff -$.SS'tr.- The secofft-o}cter poltr'n,orniel rensalns pasitive if K > 1".S6 or i{ .{ -$.$S1- Therefore, we ruust hanre Jd > 1.06- 45- Suppoee the clinrscteristis polynurnial trf a given closed-loop aystern ir *anrrputed ta be
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s4+{11+Ka}fa(t?1"+Kr}e?+{ffr+Kr K?+ll$ffr*ttil}s*lltrr+3"0$ : S'
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This note was uploaded on 02/06/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

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problems 3.44 and 3.45 - 44. Ikfodify th* It.ou*h ffitedofi...

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