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This note is concerned with the stability and stabilization of the linearizedspacecraft attitude control system. Necessary and sufficient conditions arerespectively provided to guarantee that the considered systems are polynomiallystable and stable in the Lyapunov sense. These two classes of conditionsguarantee that the linearized spacecraft attitude control system can berespectively stabilized semi-globally and globally by saturated linear statefeedback.

On Stability of the Linearized Spacecraft Attitude Control System