Sylvester Equation
type: Item
instance of: mathematical expression
defining formula: A X + X B = C
in defining formula: X
specialized by: Lyapunov Equation
specialized by: Sylvester Equation Controllability
specialized by: Sylvester Equation Observability
specialized by: Lyapunov Equation Controllability
specialized by: Lyapunov Equation Observability
specialized by: Lyapunov Generalized Controllability
specialized by: Lyapunov Generalized Observability
described by source: Sur l'équation en matrices \(px=xq\).
description: Due to the different sizes of A, B, C, the matrix X will be rectangular in general.
Wikidata QID: Q3730848
community: MathModDB
MaRDI profile type: MaRDI formula profile
named after: James Joseph Sylvester
described at URL: Sylvester equation
description: matrix equation, typically used in the field of control theory