ResponsePlot (sys, input, opts)

Some options are used only with particular types of systems. If an option is not usable, it is ignored.

Specifies the initial conditions of the system. For a state-space system the initial conditions are specified as a Vector with dimension equal to the number of state-variables. For a differential-equation system the initial conditions are a list of equations. For transfer-function, coefficients, zero-pole-gain, and difference-equation (discrete DE) systems, initial conditions are ignored. Ignored initial conditions are equivalent to initial conditions of zero.

Specifies the expressions to plot.

A single algebraic expression generates a plot of the expression versus time. The names of the system variables in the expression are replaced with their values at each instant of the solution. For example, for a continuous system with y1 as an output variable and  x1 as a state variable, the expression t*x1*y1^2 plots $t\mathrm{x1}\left(t\right){\mathrm{y1}\left(t\right)}^2$ versus $t$.

A list(algebraic) expression generates a multiplot of each element in the list versus time. The names of the system variables in the elements are replaced with their values at each instant of the solution. For example, for a discrete system with y1 and y2 as an output variables and u1 as an input variable, the list [y1, y2/u1] plots y1(q) versus q and y2(q)/u1(q) versus q.

A listlist(algebraic) expression generates a parametric multiplot, with each sublist specifying the coordinates of the corresponding plot. If the sublists contain two elements, then the plots are 2-D plane curves. If the sublists contain three elements, then the plots are 3-D space curves. The names of the system variables in the elements are replaced with their values at each instant of the solution. For example, for a continuous system with y1 and y2 as output variables, the listlist [[y1, y2]] plots $\mathrm{y1}\left(t\right)$ versus $\mathrm{y2}\left(t\right)$.

As described above, system variables are substituted for the corresponding names in the expressions. Continuous systems do not have access to the input variables, while discrete systems do.

The default is to plot all output variables of a system versus time.

Continuous System Options

•  dsolveargs = list( equation ) Specifies extra parameters to be passed to dsolve. The simulation is achieved by formulating the system as a set of differential equations and then passing them to dsolve.  With this option additional parameters can be passed to dsolve.  See dsolve/numeric/DAE for details. •  duration = realcons Specifies the duration of the simulation. The simulation starts at $t=0$ and proceeds until t = duration. The default value is assigned by DynamicSystems[SystemOptions]. •  ignoredirac = truefalse    True means replace any function calls to Dirac in the system with 0; false means raise an error when a Dirac is present in the system. The default is false.

Create a linear system from a differential equation.

Generate the input waveform, a sine wave with amplitude 1 and natural frequency of 2 radian/second.

Plot the response of the system to the input for a simulation time of 10 seconds.  This is the command to create the 2-D plot from the Plotting Guide.

Plot theta vs i as time varies over the duration.

Create a discrete simulation of the previous system. Convert sys to a sampled system with a sampling period, Ts,  of 0.1 second. Assign the default samplecount so that the duration corresponds to Tsim'.

Plot the response of the system, and the input.

Plot the output state, versus time, as a space-curve.  This is the command to create the 3-D plot from the Plotting Guide.

If the time-constants of the system are much less than the duration, passing the dsolve option stiff to PlotResponse can improve the plot. For example