Abstract
In this paper the problem of input-output finite-time stability (IO-FTS) and stabilization of linear time-varying systems is dealt with. The classical definition of IO-FTS is extended to that one of structured IO-FTS, since this allows to incorporate, in the definition of the stabilization problem, some amplitude constraints on the control input variables. A necessary and sufficient condition and a sufficient condition for constrained IO finite-time stabilization are provided in the case of ℒ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> and ℒ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> disturbance inputs, respectively. Such conditions require the existence of a feasible solution to a certain differential linear matrix inequality (DLMI). A numerical example illustrates the effectiveness of the proposed approach.
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