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Construct the signal flow graph for the following set of simultaneous equations: X₂ = A21 X₁ + A23 X3, X3 = A31 X1 + A32 X2 + A33 X3, X4 = A42X2 + A43X3. Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths, and (e) self-loop.

Construct the signal flow graph for the following set of simultaneous equations: X₂ = A21 X₁ + A23 X3, X3 = A31 X1 + A32 X2 + A33 X3, X4 = A42X2 + A43X3. Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths, and (e) self-loop.

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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Construct the signal flow graph for the following set of simultaneous equations: X₂ = A21 X₁ + A23 X3, X3 = A31 X1 + A32 X2 + A33 X3, X4 = A42X2 + A43X3. Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths, and (e) self-loop.
Transcribed Image Text:Construct the signal flow graph for the following set of simultaneous equations: X₂ = A21 X₁ + A23 X3, X3 = A31 X1 + A32 X2 + A33 X3, X4 = A42X2 + A43X3. Identify the (a) input node, (b) output node, (c) forward paths, (d) feedback paths, and (e) self-loop.
Expert Solution
Step 1

Given:

Input output equations of a control system,

x2=A21x1+A23x3x3=A31x1+A32x2+A33x3x4=A42x2+A43x3

To find:

we have construct signal flow graph from given equations.

And identify the

a) input node

b) output node

c) forward paths

d) feedback paths

e) self loop

steps

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