Spacecraft attitude control using only magnetic torques is a time-varying system. Many designs were proposed using LQR and H-infinity formulations. The existence of the solutions depends on the controllability of the linear time-varying systems which has not been established. In this paper, we will derive the conditions of the controllability for this linear time-varying systems.
An Efficient Algorithm for Periodic Riccati Equation for Spacecraft Attitude Control Using Magnetic Torques
Over-approximating reachable tubes of linear time-varying systems
On the controllability of the non-isentropic 1-D Euler equation
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