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A discrete time system is stable if the roots of the characteristic equation are: In the left half of z-plane In the upper half of z-plane. Outside the unit circle centered at origin in the z-plane O Inside the unit circle centered at origin in the z-plane

A discrete time system is stable if the roots of the characteristic equation are: In the left half of z-plane In the upper half of z-plane. Outside the unit circle centered at origin in the z-plane O Inside the unit circle centered at origin in the z-plane

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A discrete time system is stable if the roots of the characteristic equation are: In the left half of z-plane In the upper half of z-plane. Outside the unit circle centered at origin in the z-plane Inside the unit circle centered at origin in the z-plane Consider the system output Y(z) given by 0.3678z + 0.2644 Y(z) = K z? – 1.3678z + 0.3678 The values v(kT) at the first two sampling instants are: y(0) =0; y(T)= -1.3678 y(0) =0; y(T)= 0.3678 y(0) =0.3678; y(T)= 0.2644 O y(0) =0.3678; y(T)= 0
Transcribed Image Text:A discrete time system is stable if the roots of the characteristic equation are: In the left half of z-plane In the upper half of z-plane. Outside the unit circle centered at origin in the z-plane Inside the unit circle centered at origin in the z-plane Consider the system output Y(z) given by 0.3678z + 0.2644 Y(z) = K z? – 1.3678z + 0.3678 The values v(kT) at the first two sampling instants are: y(0) =0; y(T)= -1.3678 y(0) =0; y(T)= 0.3678 y(0) =0.3678; y(T)= 0.2644 O y(0) =0.3678; y(T)= 0
Consider a discrete time system with the closed-loop pulse transfer function T(z) = K 22+3z+1 z2+0.9z+0.2 This system is: Stable for all finite K. Unstable for 0.7< k < * O Unstable for all finite K None of the above
Transcribed Image Text:Consider a discrete time system with the closed-loop pulse transfer function T(z) = K 22+3z+1 z2+0.9z+0.2 This system is: Stable for all finite K. Unstable for 0.7< k < * O Unstable for all finite K None of the above
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