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 ...

Package Development (Mathematica Guide)

Mathematica is to its core a fundamentally extensible system, in which efficient, modular, reusable packages of any size can readily be created. Mathematica's symbolic ...

LyapunovSolve (Built-in Mathematica Symbol)

LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...

SystemsModelStateFeedbackConnect (Built-in Mathematica Symbol)

SystemsModelStateFeedbackConnect[ss, controller] gives the closed-loop system for the StateSpaceModel object ss with state feedback controller ...

TransferFunctionExpand (Built-in Mathematica Symbol)

TransferFunctionExpand[tf] expands polynomial terms in the numerators and denominators of the TransferFunctionModel object tf.

OutputResponse (Built-in Mathematica Symbol)

OutputResponse[sys, u, t] gives the output response of a TransferFunctionModel or StateSpaceModel object sys to the input u as a function of time t.OutputResponse[sys, u, {t, ...

ControllableModelQ (Built-in Mathematica Symbol)

ControllableModelQ[ss] yields True if the StateSpaceModel object ss is controllable, and False otherwise.

ObservableModelQ (Built-in Mathematica Symbol)

ObservableModelQ[ss] gives True if the StateSpaceModel object ss is observable, and False otherwise.

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 ...

ObservableDecomposition (Built-in Mathematica Symbol)

ObservableDecomposition[ss] yields the observable decomposition of the StateSpaceModel object ss. The result is a list {s_o, ss_o} where s_o is the transformation matrix and ...