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We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transition matrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrollablesubsystem, a sufficient condition is also given to guarantee the stabilization of the switched impulsive system under appropriate switching signal

Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse