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The denominator polynomial of a 2nd order system is defined as A (z) = 1+ a1z+ azz The reverse polynomial of A (z) can be expressed as B (z) = a2 + a1z + z O For a =0 the 2nd order system is stable with distinct roots if 0< a2 < 1 O If aj and a2 are real with a2 > ai „the poles are always in complex conjugate pair. For aj = 0 the 2nd order system is stable with complex poles if $$0

The denominator polynomial of a 2nd order system is defined as A (z) = 1+ a1z+ azz The reverse polynomial of A (z) can be expressed as B (z) = a2 + a1z + z O For a =0 the 2nd order system is stable with distinct roots if 0< a2 < 1 O If aj and a2 are real with a2 > ai „the poles are always in complex conjugate pair. For aj = 0 the 2nd order system is stable with complex poles if $$0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The denominator polynomial of a 2nd order system is defined as A (z) = 1+ ajz + azz2 O The reverse polynomial of A (z) can be expressed as B (z) = a2 + aj z + z For a1 = 0 the 2nd order system is stable with distinct roots if 0 < a2 < 1 If aj and a2 are real with a2 > 7ai 4. „the poles are always in complex conjugate pair. For aj = 0 the 2nd order system is stable with complex poles if $$0
Transcribed Image Text:The denominator polynomial of a 2nd order system is defined as A (z) = 1+ ajz + azz2 O The reverse polynomial of A (z) can be expressed as B (z) = a2 + aj z + z For a1 = 0 the 2nd order system is stable with distinct roots if 0 < a2 < 1 If aj and a2 are real with a2 > 7ai 4. „the poles are always in complex conjugate pair. For aj = 0 the 2nd order system is stable with complex poles if $$0
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