LQOutputRegulatorGains (Built-in Mathematica Symbol)

LQOutputRegulatorGains[ss, {q, r}] gives the optimal state feedback gain matrix for the StateSpaceModel object ss and the quadratic cost function with output and control ...

StateResponse (Built-in Mathematica Symbol)

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 ...

CholeskyDecomposition (Built-in Mathematica Symbol)

CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.

ControllableDecomposition (Built-in Mathematica Symbol)

ControllableDecomposition[ss] yields the controllable decomposition of the StateSpaceModel object ss. The result is a list {s_c, ss_c} where s_c is the transformation matrix ...

DiscreteLQEstimatorGains (Built-in Mathematica Symbol)

DiscreteLQEstimatorGains[ss, {w, v}, \[Tau]] gives the optimal discrete-time estimator gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel object ...

DiscreteLyapunovSolve (Built-in Mathematica Symbol)

DiscreteLyapunovSolve[a, c] finds the numeric solution x of the discrete matrix equation a.x.a\[ConjugateTranspose] - x == c.DiscreteLyapunovSolve[a, b, c] solves a.x.b - x ...

InverseEllipticNomeQ (Built-in Mathematica Symbol)

InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.

KleinInvariantJ (Built-in Mathematica Symbol)

KleinInvariantJ[\[Tau]] gives the Klein invariant modular elliptic function J(\[Tau]).

StandardDeviation (Built-in Mathematica Symbol)

StandardDeviation[list] gives the sample standard deviation of the elements in list. StandardDeviation[dist] gives the standard deviation of the symbolic distribution dist.

ToContinuousTimeModel (Built-in Mathematica Symbol)

ToContinuousTimeModel[sys] gives the continuous-time approximation of the discrete-time TransferFunctionModel or StateSpaceModel object sys.ToContinuousTimeModel[tf, s] gives ...