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Definition of "Kalman decomposition of linear systems" |
one of several decompositions for linear systems.Every linear, stationary finite-dimensional continuous-time dynamical system can be decomposed into four subsystems: controllable and observable, controllable and unobservable,uncontrollable and observable,uncontrollable and unobservable. This decomposition does not depend on any nonsingular transformations in the state space R^n. The transfer function matrix always describes only the controllable and observable part of the dynamical system and does not depend on any nonsingular transformations in the state space R^n. Similar statements hold true for linear stationary finite-dimensional discrete-time dynamical systems. |
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