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This paper studies the input-output finite-time stabilization problem for time-varying linear singular systems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of disturbance inputs are considered, which belong to ℒ2 and ℒ∞;. Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The conditions are presented in terms of differential linear matrix inequalities. Finally, an example is presented to show the validity of the proposed results.
Control Conference (CCC), 2011 30th Chinese
Date of Conference: 22-24 July 2011