BUILT-IN MATHEMATICA SYMBOL
DescriptorStateSpace
- In StateSpaceModel[{a, b, c, d, e}], the matrix e is the descriptor matrix.
- The equations governing continuous-time standard and descriptor state-space models are:
-
|  | standard state space |
|  | descriptor state space |
- Discrete-time systems have analogous forms
- The option can take the following values:
-
| Automatic | use descriptor only if  is singular |
| False | use standard state-space representation |
| True | use descriptor state-space representation |
Invert the descriptor matrix to create a standard state-space model:
| Out[1]= |  |
Add an identity matrix to create a descriptor realization:
| Out[1]= |  |
Obtain the descriptor StateSpaceModel:
| Out[1]= |  |
By default, the standard form is obtained:
| Out[2]= |  |
For singular systems, the descriptor form is obtained by default:
| Out[1]= |  |
Because the descriptor matrix is singular, it is not possible to obtain the standard form:
| Out[2]= |  |
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