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| Received:July 06, 2011Revised:September 30, 2011 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60974137, 61174141, 61004005, 61074070), the Research Awards Fund for Outstanding Young and Middle-Aged Scientists of Shandong Province (Nos. BS2011SF009, BS2011DX019), and the Independent Innovation Foundation of Shandong University (Nos. IIFSDU2009TS085, 2010TS007). |
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| Input-output finite-time stability of time-varying linear singular systems |
| Juan YAO,Jun-e FENG,Lin SUN,Yu ZHENG |
| (School of Mathematics, Shandong University) |
| 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. |
| Key words: Differential linear matrix inequality Finite-time stability Input-output Linear singular system |
