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The Stability of Linear Feedback Systems

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References<br />

233<br />

equation <strong>The</strong> equation that immediately precedes the zero entry in the<br />

_yo<br />

RapllsOn method An iterative approach to solving for roots <strong>of</strong> a poly.<br />

equation.<br />

stability <strong>The</strong> property that is m~as.ured by. the relative settling times <strong>of</strong><br />

*GOt or pair <strong>of</strong> roots <strong>of</strong>the charactenstlc cQuatlon.<br />

Hanritz criterion A criterin for determining the ~tability <strong>of</strong>.a srstem by<br />

., the characteristic equation <strong>of</strong>the transfcr function. <strong>The</strong> cntenon states<br />

1be number <strong>of</strong> roots <strong>of</strong> the characteristic equation with positive real parts is<br />

10 the number <strong>of</strong> changes <strong>of</strong> sign <strong>of</strong> the coefficients in the first column <strong>of</strong><br />

th array.<br />

A perfonnance measure <strong>of</strong>a system. A system is stable if all the poles<br />

transfer function have negative real parts.<br />

•ystem A dynamic system with a bounded system response to a bounded<br />

division A method <strong>of</strong>determining the roots <strong>of</strong> the characteristic eQuabued<br />

on the remainder theorem <strong>of</strong> mathematics.<br />

..C. Dorf, Introduction 10 Eleclric Circuirs. John Wiley & Sons, New York, 1989.<br />

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