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In this note, we investigate the problem of stabilization for second order switched systems by means of output feedback control and switching design. Under mild conditions, we design the output feedback and switching signal to exponentially stabilize the switched systems. Meanwhile, we optimize the switching signal to achieve nonovershooting of the output.
In this note, we investigate the problem of bounded-input bounded-output (BIBO) stability for continuous-time switched linear systems under arbitrary switching. We show that BIBO stability is equivalent to exponential stability under mild assumptions, which is an extension of the well-known relationship between external and internal stability for linear systems.
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