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}, ...

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 ...

ControllabilityGramian[ss] gives the controllability Gramian of the StateSpaceModel object ss.

ObservabilityGramian[ss] gives the observability Gramian of the StateSpaceModel object ss.

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 ...

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

 

 

Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...