flow graph - meaning and definition. What is flow graph
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  3. flow graph

What (who) is flow graph - definition


Rooted graph         
GRAPH IN WHICH ONE VERTEX HAS BEEN DISTINGUISHED AS THE ROOT
Accessible pointed graph; Rooted directed graph; Rooted digraph
In mathematics, and, in particular, in graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root.. See p.
https://en.wikipedia.org/wiki/Rooted_graph
Signal-flow graph         
  • Example: Block diagram and two equivalent signal-flow graph representations.
  • Signal flow graph of a circuit containing a two port. The forward path from input to output is shown in a different color. The dotted line rectangle encloses the portion of the SFG that constitutes the two-port.
  • Figure 4: A different signal-flow graph for the [[asymptotic gain model]]
  • Elements and constructs of a signal flow graph.
  • Flow graph for three simultaneous equations. The edges incident on each node are colored differently just for emphasis. Rotating the figure by 120° simply permutes the indices. <math>x_1= \left( c_{11} +1 \right) x_1 +c_{12} x_2 +c_{13} x_3 - y_1 \ ,</math> <math>x_2= c_{21} x_1 +\left( c_{22} +1 \right) x_2 +c_{23} x_3 - y_2 \ ,</math> <math>x_3= c_{31} x_1 +c_{32} x_2 + \left( c_{33} +1 \right) x_3 - y_3 \ .</math>
  • (a) Simple flow graph, (b) The arrows of (a) incident on node 2 (c) The arrows of (a) incident on node 3
  • Figure 3: A possible signal-flow graph for the [[asymptotic gain model]]
  • Angular position servo and signal flow graph. θ<sub>C</sub> = desired angle command, θ<sub>L</sub> = actual load angle, K<sub>P</sub> = position loop gain, V<sub>ωC</sub> = velocity command, V<sub>ωM</sub> = motor velocity sense voltage, K<sub>V</sub> = velocity loop gain, V<sub>IC</sub> = current command, V<sub>IM</sub> = current sense voltage, K<sub>C</sub> = current loop gain, V<sub>A</sub> = power amplifier output voltage, L<sub>M</sub> = motor inductance, V<sub>M</sub> = voltage across motor inductance, I<sub>M</sub> = motor current, R<sub>M</sub> = motor resistance, R<sub>S</sub> = current sense resistance, K<sub>M</sub> = motor torque constant (Nm/amp), T = torque, M = moment of inertia of all rotating components α = angular acceleration, ω = angular velocity, β = mechanical damping, G<sub>M</sub> = motor back EMF constant, G<sub>T</sub> = tachometer conversion gain constant,. There is one forward path (shown in a different color) and six feedback loops. The drive shaft assumed to be stiff enough to not treat as a spring. Constants are shown in black and variables in purple.
  • Figure 1: SFG of a simple amplifier
  • Signal flow graph refactoring rule: replacing parallel edges with a single edge with a gain set to the sum of original gains.
  • Signal flow graph refactoring rule: a looping edge at node N is eliminated and inflow gains are multiplied by an adjustment factor.
  • Signal flow graph refactoring rule: replacing outflowing edges with direct flows from inflowing sources.
  • Signal flow graph refactoring rule: eliminating outflowing edges from a node known to have a value of zero.
  • Signal flow graph refactoring rule: a node that is not of interest can be eliminated provided that it has no outgoing edges.
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  • A simple RC system and its closed flowgraph. A "dummy" transmittance Z(s) is introduced to close the system.<ref name=Happ66 />
  • State transition signal-flow graph. Each initial condition is considered as a source (shown in blue).
A SPECIALIZED FLOW GRAPH, A DIRECTED GRAPH IN WHICH NODES REPRESENT SYSTEM VARIABLES, AND BRANCHES (EDGES, ARCS, OR ARROWS) REPRESENT FUNCTIONAL CONNECTIONS BETWEEN PAIRS OF NODES
Mason graph; Signal flow graph
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the term, is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes. Thus, signal-flow graph theory builds on that of directed graphs (also called digraphs), which includes as well that of oriented graphs.
https://en.wikipedia.org/wiki/Signal-flow_graph
Null graph         
GRAPH WITHOUT EDGES (ON ANY NUMBER OF VERTICES)
Empty tree; Empty graph; Null Graph; Null tree; Singleton graph; Edgeless graph; Order-zero graph
In the mathematical field of graph theory, the term "null graph" may refer either to the order-zero graph, or alternatively, to any edgeless graph (the latter is sometimes called an "empty graph").
https://en.wikipedia.org/wiki/Null_graph

Wikipedia

Flow graph
Flow graph may refer to:
https://en.wikipedia.org/wiki/Flow graph
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