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[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 ...

lhs = rhs evaluates rhs and assigns the result to be the value of lhs. From then on, lhs is replaced by rhs whenever it appears. {l_1, l_2, ...} = {r_1, r_2, ...} evaluates ...

InverseGammaDistribution[\[Alpha], \[Beta]] represents an inverse gamma distribution with shape parameter \[Alpha] and scale parameter ...

Nested lists are lists within a list; they are the principal structure for data in Mathematica and allow for high-dimension arrays and ragged datasets as well as common uses ...

MachinePrecision is a symbol used to indicate machine-number precision.

MaxRecursion is an option for functions like NIntegrate and Plot that specifies how many recursive subdivisions can be made.

NotebookPut[expr] creates a notebook corresponding to expr and makes it the currently selected notebook in the front end. NotebookPut[] creates a new empty ...

Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.

NSolve[expr, vars] attempts to find numerical approximations to the solutions of the system expr of equations or inequalities for the variables vars. NSolve[expr, vars, ...