SingularValuePlot (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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

Packages for Symbolic Mathematics (Mathematica Tutorial)

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 (Built-in Mathematica Symbol)

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

JordanModelDecomposition (Built-in Mathematica Symbol)

JordanModelDecomposition[ss] yields the Jordan decomposition of a StateSpaceModel object ss. The result is a list {s, jc} where s is a similarity matrix and jc is the Jordan ...

StateFeedbackGains (Built-in Mathematica Symbol)

StateFeedbackGains[ss, {p_1, p_2, ..., p_n}] gives the state feedback gain matrix for the StateSpaceModel object ss such that the poles of the closed-loop system are p_i.

NicholsGridLines (Built-in Mathematica Symbol)

NicholsGridLines is an option to NicholsPlot that specifies contours of constant magnitude and constant phase of the closed-loop system.

LQGRegulator (Built-in Mathematica Symbol)

LQGRegulator[{ss, sensors, finputs}, {w, v, h}, {q, r, p}] constructs the optimal feedback regulator for the StateSpaceModel ss using noisy measurements sensors and feedback ...