This is the white area surrounded by the gray area. To limit the size of the display, the active area where poles and zeros can be located extends from to in both the and directions. Complex conjugate poles and zeros in the lower half are automatically created, removed, and dragged with the upper-half poles and zeros. Dragging is active only in the upper half of the diagram. Similarly, to drag a zero, the selection must be set to zero. To drag a pole, the radio button selection at the top left of the display must be set to pole. All operations are done using the mouse only.
To remove a pole or a zero from the system, drag it back to the gray area. To add a pole or a zero to the system, simply drag the pole or the zero from the gray area to the white area using the mouse. A pole is marked with and a zero is marked with. Poles and zeros that are inside the gray area do not contribute to the system. Therefore, the system will be stable when the contains the unit circle.įollowing is a description of how to use this Demonstration: Starting on the left of the display, we see the unit circle surrounded by a small gray area.
In this Demonstration it is assumed that the system is causal and right-sided, which implies that the system is stable when all the poles are inside the unit circle and hence the (region of convergence) extends from the largest pole to infinity. The top part of the display shows the generated analytical expression for and and the differential equation that represents the inverse Laplace transform of the denominator of the transfer function. The right side of the display is used to show different plots (such as Bode) and system response to different inputs. The left part represents the domain of and shows the unit circle where you can drag the poles and zeros. Charting`ResolvePlotTheme)) /.There are three parts to the main display. This sounds like they make a row of plots, a column of plots, or a 2D grid of plots, right? Let’s try it out: colors = (("DefaultPlotStyle" /. There are three main commands to tile plots: Row, Column, Grid. Even better: if you don’t set the directory to the notebook directory, the file will just end up somewhere totally different from the local directory.įor many formats, you will also have to specify the image resolution: Export 6.
You just sort of specify the type of the file via the extension, and it just sort of works…. The standard command is: SetDirectory] Export
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