Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Kalman_filter
optimal control linear-quadratic regulator |
| gptkbp:field |
gptkb:mathematics
control theory linear algebra |
| gptkbp:form |
X A + A^T X - X B R^{-1} B^T X + Q = 0
|
| gptkbp:namedAfter |
gptkb:Jacopo_Riccati
|
| gptkbp:parameter |
A (matrix)
B (matrix) Q (matrix) R (matrix) |
| gptkbp:relatedTo |
Lyapunov equation
Sylvester equation differential Riccati equation |
| gptkbp:solvedBy |
positive semidefinite matrix
|
| gptkbp:type |
matrix equation
nonlinear equation |
| gptkbp:variant |
X (unknown matrix)
|
| gptkbp:bfsParent |
gptkb:linear_quadratic_regulator
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
algebraic Riccati equation
|