Input-output finite-time stability of time-varying linear singular systems |
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Authors: | Juan YAO Jun-e FENG Lin SUN and Yu ZHENG |
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Affiliation: | School of Mathematics, Shandong University, Jinan Shandong 250100, China |
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Abstract: | 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 L-two and L-infinity. 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. |
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Keywords: | Differential linear matrix inequality Finite-time stability Input-output Linear singular system |
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