OutputResponse[sys, u, {t, t_min, t_max}] gives the numeric output response of system sys to the input u for t_min <= t <= t_max. OutputResponse[sys, {u[0], u[1], ...}] gives ...

Time delays are common in a variety of systems, often caused by communication lags, material transport, delayed sensing, etc. Time delays can cause instabilities and are ...

Descriptor state-space models can include both dynamic and algebraic equations, as is common in electrical circuits or constrained mechanical systems. This makes modeling ...

Mathematica provides an extensive suite of built-in functionality to carry out analysis, design, and simulation of continuous- and discrete-time control systems using both ...

PIDTune[lsys] gives a feedback PID controller for the linear time-invariant system lsys. PIDTune[lsys, " carch"] gives a controller of architecture " carch" ("P", "PI", ...

RecurrenceFilter[{\[Alpha], \[Beta]}, x] filters x using a linear recurrence equation with coefficients \[Alpha] and \[Beta]. RecurrenceFilter[tf, x] uses a discrete-time ...

TooltipBox[" "]TransferFunctionZeros[tfm] gives a matrix of roots of the numerators in the TransferFunctionModel tfm. 9+TransferFunctionZeros[tfm, reg] only gives the roots ...

FeedbackSector is an option to NyquistPlot that specifies the sector limits of the nonlinearity in the feedback.

SystemsModelExtract[sys, {in_1, ...}] extracts the subsystem of the systems model sys associated with inputs at position in_i. SystemsModelExtract[sys, {in_1, ...}, {out_1, ...

BesselFilterModel[n] designs a lowpass Bessel filter of order n and cutoff frequency 1. BesselFilterModel[{n, \[Omega]_c}] uses the cutoff frequency \[Omega]_c. ...