Mathematica automatically handles hundreds of data formats and subformats—all coherently integrated through Mathematica's uniform use of symbolic expressions. For each ...

NyquistPlot[g] gives the Nyquist plot of a rational function g in one complex variable.NyquistPlot[sys] gives the Nyquist plot of a TransferFunctionModel or StateSpaceModel ...

StateResponse[ss, u, t] gives the state response of the StateSpaceModel object ss to the input u as a function of time t.StateResponse[ss, u, {t, t_min, t_max}] gives the ...

DiscreteLQRegulatorGains[ss, {q, r}, \[Tau]] gives the optimal discrete-time state feedback gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel ...

SingularValuePlot[m] gives the singular value plot of a matrix m of rational functions in one complex variable.SingularValuePlot[sys] gives the singular value plot of a ...

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

InternallyBalancedDecomposition[ss] yields the internally balanced decomposition of the StateSpaceModel object ss. The result is a list {s, ib} where s is the similarity ...

LUDecomposition[m] generates a representation of the LU decomposition of a square matrix m.

There are many Mathematica packages that implement symbolic mathematical operations. Here are a few examples drawn from the standard set of packages distributed with ...

NyquistGridLines is an option to NyquistPlot that specifies contours of constant magnitude and phase of a closed-loop system.