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DynamicSystems

Ramp

generate a ramp waveform

Calling Sequence

Ramp( )

Ramp(slope, t0, y0, opts)

Parameters

slope

-

(optional) algebraic; slope of ramp; default is 1

t0

-

(optional) algebraic; delay to start of ramp; default is 0

y0

-

(optional) algebraic; initial value; default is 0

opts

-

(optional) equation(s) of the form option = value; specify options for the Ramp command

Options

discrete = truefalse

Specifies that the output is a Vector containing samples of the waveform. Elements of the Vector are samples of the waveform. The number of elements in the Vector is given by samplecount. The i-th element corresponds to a sample at time t=(i-1)*sampletime. The default is the value of discrete in DynamicSystems[SystemOptions] .

samplecount = posint

Specifies the number of samples in the output Vector. It is used with the discrete option. The default is the value of samplecount in DynamicSystems[SystemOptions] .

sampletime = positive

Specifies the time between samples in the output Vector. It is used with the discrete option. The default is the value of sampletime in DynamicSystems[SystemOptions] .

Description

The Ramp command generates a ramp waveform.

By default, Ramp returns a piecewise expression representing a ramp. If the option discrete is assigned true, Ramp returns a Vector of data points.

The optional parameter slope specifies the slope of the ramp. Its default value is one.

The optional parameter t0 specifies the time of the start of the ramp. Its default value is zero.

The optional parameter y0 specifies the initial value. Its default value is zero.

Examples

>

withDynamicSystems:

>

Ramp

0t<0totherwise

(1)
>

Rampk&comma;t0&comma;y0

y0t<t0y0+kt0+totherwise

(2)
>

Rampdiscrete=true%T

0.1.2.3.4.5.6.7.8.9.

(3)
>

plotRamp2&comma;1&comma;1&comma;t=3..3


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