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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 paper, by use of the properties of matrix measure, a set of linear and quadratic conditions is obtained which is sufficient for stabilizability of switched linear systems. These conditions are easily applicable because of their special form. So they are suitable to apply specially for higher order systems with several subsystems. Moreover, different system performances can also be achieved...
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