Before revision: Kalman decomposition provides a mathematical means to convert a representation of any linear time-invariant control system to a form in which the system can be decomposed into a standard form which makes clear the observable and controllable components of the system.
After revision: In control theory, aKalman decomposition provides a mathematical means to convert a representation of any linear time-invariant control system to a form in which the system can be decomposed into a standard form which makes clear the observable and controllable components of the system.